Declaration index
All public declarations of the codebase (and the private ones cited by the map), with the paper statements that cite them and the matching Prove2Me node of the published (private) SurfaceBlowupV2 tree when one exists. The Prove2Me match is by declaration name (plus a curated alias table) and is informational.
| declaration | kind | file | paper | Prove2Me |
|---|---|---|---|---|
actual_blowup_restriction_exists | theorem | Blowup/PointTransport.lean | N0261 | |
actual_cech_differentials_commute_with_reduction | theorem | Blowup/Charts.lean | N0126 | |
actual_cech_preserves_exceptional_lattices | theorem | Blowup/Charts.lean | N0125 | |
actual_cech_reductions_surjective | theorem | Blowup/Charts.lean | Lemma 4.1, Appendix A | N0127 |
actual_finite_cech_coefficient_length | theorem | Blowup/CechStability.lean | Lemma 4.2 | N0117 |
actual_finite_cech_coefficient_triangular | theorem | Blowup/CechStability.lean | Lemma 4.2 | N0118 |
actual_negative_layer_coker_exact | theorem | Blowup/TwoChartCurveData.lean | N0314 | |
actual_negative_twist_kernel_zero | theorem | Blowup/NilpotentGluing.lean | N0235 | |
actual_twisted_coker_reduction_bijective | theorem | Blowup/CechStability.lean | Lemma 4.1, Appendix A | N0116 |
adamsCoef | def | Reciprocity/Defs.lean | (6.4) | D022 |
adamsCoef_adamsCoef | theorem | Reciprocity/Quantum.lean | N0638 | |
adamsCoef_one | theorem | Reciprocity/Quantum.lean | N0639 | |
adamsCoef_scalar | theorem | Reciprocity/Quantum.lean | N0633 | |
adamsCoef_single | theorem | Reciprocity/Quantum.lean | N0631 | |
adamsRat | def | Reciprocity/Defs.lean | D022 | |
adamsRat_adamsRat | theorem | Reciprocity/Defs.lean | N0509 | |
adamsRat_one | theorem | Reciprocity/Defs.lean | N0510 | |
adamsRat_recipRat | theorem | Reciprocity/Defs.lean | N0508 | |
adamsRat_X | theorem | Reciprocity/Defs.lean | N0506 | |
adamsRat_zpow_X | theorem | Reciprocity/Defs.lean | N0511 | |
adamsSer | def | Reciprocity/Defs.lean | D022 | |
adamsSer_clusterSer_sub_one_scongr | theorem | Reciprocity/Defs.lean | N0516 | |
adamsSer_logSer | theorem | Reciprocity/Quantum.lean | N0655 | |
adamsSer_one | theorem | Reciprocity/Defs.lean | N0514 | |
adamsSer_sub | theorem | Reciprocity/Defs.lean | N0515 | |
adic_complete_iff_of_pow_le | theorem | Unramified/Extension.lean | N0932 | |
adic_congruence_rules | theorem | Measure/AdicTransport.lean | N0410 | |
adic_cylinders_intersection | theorem | Measure/AdicTransport.lean | N0411 | |
adic_perturb_bijective | theorem | Measure/AdicTransport.lean | N0414 | |
adic_perturb_congruence_iff | theorem | Measure/AdicTransport.lean | N0412 | |
adic_perturb_measurable | theorem | Measure/AdicTransport.lean | N0416 | |
adic_perturb_measure_preserving | theorem | Measure/AdicTransport.lean | N0419 | |
adicCongr | def | Measure/AdicCylinders.lean | ||
adicCylinders | def | Measure/AdicCylinders.lean | ||
adicCylinderSpace | def | Measure/AdicCylinders.lean | ||
adicPerturb | def | Measure/AdicCylinders.lean | ||
AdicQuotient | abbrev | Measure/AdicCylinders.lean | ||
adicReduce | def | Measure/AdicCylinders.lean | ||
adjoinRoot_base_change | theorem | Algebra/AlgebraType.lean | N0053 | |
affine_degenerate_null | theorem | Etale/Main.lean | N1030 | |
affine_divisor_count | theorem | Assembly/TypeEvents.lean | N0106 | |
affine_resultant_eq | theorem | Measure/MemberCharts.lean | N0467 | |
affine_type_event_primitive_density | theorem | Assembly/MonicCells.lean | N0091 | |
affine_type_event_unit_scaling | theorem | Assembly/TypeEvents.lean | N0099 | |
AffineDirection | abbrev | Blowup/Directions.lean | ||
AffineDivisor | def | Assembly/NullBridges.lean | ||
affinePolynomial | def | Basic.lean | Projective model | D008 |
affinePolynomial_coeff_last | theorem | Etale/Main.lean | N1026 | |
affinePolynomial_natDegree_of_last | theorem | Etale/Main.lean | N1027 | |
affinePolynomial_snoc_one | theorem | Etale/Main.lean | N1028 | |
affineTypeEvent | def | Assembly/NullBridges.lean | ||
algebra_product_congruence | theorem | Measure/AdicCylinders.lean | N0393 | |
algebra_type_algEquiv | theorem | Algebra/AlgebraType.lean | N0062 | |
algebra_type_children_exists | theorem | Measure/Haar.lean | N0434 | |
algebra_type_of_generic_fibre_equiv | theorem | Algebra/AlgebraType.lean | N0063 | |
algebra_type_pi | theorem | Algebra/AlgebraType.lean | N0064 | |
algebra_type_unique | theorem | Algebra/FactorInvariant.lean | N0075 | |
algebra_type_unramified_descent | theorem | Unramified/DescentTypes.lean | (6.4) | N0925 |
algebraMap_chart_eq_chartBase | theorem | Blowup/NilpotentGluing.lean | N0232 | |
algebraMap_injective_of_tower | theorem | Algebra/AlgebraType.lean | N0049 | |
Allowed | def | Basic.lean | Allowed residue ideals, cells, occupied points, (4.7)–(4.8) | D008 |
allowed_pattern_of_divisor | theorem | Recursion/Termination.lean | N0785 | |
allowed_pattern_of_divisor_unique | theorem | Recursion/Members.lean | N0736 | |
allowedPatterns | def | Basic.lean | D008 | |
AllPoints | abbrev | Blowup/Charts.lean | ||
array_enumeration | theorem | Assembly/TypeEvents.lean | N0100 | |
arrayLaw | def | Assembly/NullBridges.lean | ||
availablePoints | def | Basic.lean | (6.3) | D008 |
axis_ideal_pow_mem_iff | theorem | Surfaces/Lengths.lean | ||
axis_pow_mul_mem_span_cancel | theorem | Surfaces/Lengths.lean | N0850 | |
axis_quotient_length_top | theorem | Surfaces/Lengths.lean | N0845 | |
axis_span_isPrime | theorem | Surfaces/Lengths.lean | N0849 | |
axisQuotientLength | def | Surfaces/TruncatedSeries.lean | ||
axisQuotientLength_eq | theorem | Surfaces/TruncatedSeries.lean | N0915 | |
axisQuotientLength_eq_iff | theorem | Surfaces/TruncatedSeries.lean | N0916 | |
axisQuotientLength_eq_top | theorem | Surfaces/TruncatedSeries.lean | N0914 | |
axisT | def | Surfaces/Lengths.lean | ||
axisX | def | Surfaces/Lengths.lean | ||
bad_exit_null | theorem | Recursion/Events.lean | Proof of Theorem 6.2 | N0726 |
base_ideal_coordinates | theorem | Unramified/Extension.lean | N0933 | |
base_ideal_maximal_local | theorem | Unramified/FrobeniusDescent.lean | N0970 | |
base_ideal_pure | theorem | Unramified/Extension.lean | N0934 | |
baseChange_bijective_of_finite_cokernel | theorem | Recursion/Members.lean | N0737 | |
baseChangeUnit | def | Surfaces/Lengths.lean | ||
BaseField | abbrev | Basic.lean | D008 | |
baseIdeal | def | Unramified/Extension.lean | ||
baseReduce | abbrev | Unramified/Extension.lean | ||
beta_right_chartBase | theorem | Blowup/NilpotentGluing.lean | N0233 | |
beta_right_chartBase_self | theorem | Blowup/CurveSections.lean | N0160 | |
binary_nonEtale_null | theorem | Etale/Main.lean | Remark 1.3 | N1031 |
binary_type_event_decomposition | theorem | Assembly/TypeEvents.lean | N0101 | |
binaryTypeEvent | def | Assembly/NullBridges.lean | ||
binomial_series_ode | theorem | Reciprocity/Defs.lean | N0517 | |
block_conjugates_coprime | theorem | Unramified/FrobeniusDescent.lean | N0980 | |
block_descent_bijection | theorem | Unramified/FrobeniusDescent.lean | Lemma 7.1 | N0982 |
block_descent_congruence_iff | theorem | Unramified/FrobeniusDescent.lean | N0983 | |
block_translation | theorem | Unramified/PolynomialTypes.lean | N1013 | |
block_translation_type_iff | theorem | Formula/TypeTransport.lean | N0379 | |
blockCell | def | Unramified/Extension.lean | ||
blowup_chart_exceptional_point_polynomial | theorem | Blowup/ExceptionalLayers.lean | N0195 | |
blowup_chart_relation | theorem | Blowup/Charts.lean | N0120 | |
blowup_chart_ringHom_ext | theorem | Blowup/Charts.lean | N0121 | |
blowup_chart_universal | theorem | Blowup/Charts.lean | N0122 | |
blowup_exceptional_parameter_regular | theorem | Blowup/Charts.lean | N0123 | |
blowup_overlap_isLocalization_right | theorem | Blowup/PointTransport.lean | N0262 | |
BlowupChart | abbrev | Blowup/Charts.lean | ||
blowupChart_concrete_isNoetherianRing | theorem | Surfaces/Regularity.lean | N0898 | |
BlowupOverlap | abbrev | Blowup/Charts.lean | ||
blowupRelation | def | Blowup/Charts.lean | ||
BlowupRestriction | structure | Blowup/Charts.lean | ||
boundary_chart_quotient_equiv | theorem | Blowup/Charts.lean | N0124 | |
boundary_contact_length_ne_zero_iff | theorem | Recursion/Members.lean | N0738 | |
boundary_contact_of_twisted_generator | theorem | Blowup/DivisorPoints.lean | N0181 | |
boundaryDirections | def | Blowup/Directions.lean | ||
card_mul_eq_zero_eq_card_quotient | theorem | Surfaces/TruncatedSeries.lean | N0922 | |
card_pow_eq_sum_irreducible_degrees | theorem | Surfaces/Lengths.lean | (6.2) | |
card_truncIndex_axis_segment | theorem | Surfaces/TruncatedSeries.lean | N0919 | |
cechInputLattice | def | Blowup/Charts.lean | ||
cechInputReduction | def | Blowup/Charts.lean | ||
cechInputThreadLinear | def | Blowup/Charts.lean | ||
CechInputThreads | def | Blowup/Charts.lean | ||
CechLevelInput | abbrev | Blowup/Charts.lean | ||
CechLevelOutput | abbrev | Blowup/Charts.lean | ||
cechOutputLattice | def | Blowup/Charts.lean | ||
cechOutputReduction | def | Blowup/Charts.lean | ||
cell_assignment_exists | theorem | Recursion/OrderDefect.lean | N0763 | |
cell_child_bijOn | theorem | Recursion/RootCellLaw.lean | N0776 | |
cell_child_data_exists | theorem | Recursion/ChildMembers.lean | N0706 | |
cell_child_mem_stateSet | theorem | Recursion/Members.lean | N0739 | |
cell_child_Phi_eq_map | theorem | Recursion/OrderDefect.lean | N0771 | |
cell_datum_point_equiv | theorem | Recursion/Members.lean | N0740 | |
cell_member_index_map | theorem | Recursion/RootCellLaw.lean | Proposition 4.4 | N0777 |
cell_strict_transforms_agree_at_datum_points | theorem | Blowup/StrictNormalizer.lean | N0300 | |
cell_transport_preimage | theorem | Formula/TypeTransport.lean | N0384 | |
CellAssignment | structure | Recursion/Members.lean | ||
CellAssignment.point | def | Recursion/Members.lean | ||
CellChildData | structure | Recursion/Members.lean | ||
CellChildData.alpha | def | Recursion/Members.lean | ||
CellChildData.mc | abbrev | Recursion/Members.lean | ||
CellChildData.point | abbrev | Recursion/Members.lean | ||
CellChildData.Φ | def | Recursion/Members.lean | ||
cellMeasure | def | Unramified/Extension.lean | ||
cellMeasure_apply_of_measurableSet | theorem | Formula/TypeTransport.lean | N0382 | |
cellMeasure_cell_inter | theorem | Formula/TypeTransport.lean | N0383 | |
chart_cell_law_generic | theorem | Recursion/Members.lean | N0741 | |
chart_child_completion_equiv | theorem | Surfaces/ChartCompletions.lean | N0803 | |
chart_child_completion_map_exists | theorem | Surfaces/Regularity.lean | N0900 | |
chart_child_completion_map_local | theorem | Surfaces/Regularity.lean | N0901 | |
chart_image_measurable_chart_sigma | theorem | Measure/AdicTransport.lean | N0413 | |
chart_layer_polynomial_coordinates | theorem | Blowup/ExceptionalLayers.lean | (4.1) | N0201 |
chart_measure_total_mass | theorem | Measure/HenselProducts.lean | N0457 | |
chart_nonrational_point_span_eq_comap | theorem | Surfaces/ChartCompletions.lean | N0807 | |
chart_point_eq_directionPoint | theorem | Blowup/ExceptionalLayers.lean | N0196 | |
chart_point_isMaximal_of_residue_surjective | theorem | Surfaces/Lengths.lean | N0855 | |
chartBase | def | Blowup/Charts.lean | ||
chartBase_apply_eq_algebraMap | theorem | Surfaces/ConcreteAtlas.lean | N0829 | |
chartBase_x_eq | theorem | Blowup/H0Comparison.lean | N0207 | |
chartExceptional | def | Blowup/Charts.lean | ||
chartMeasure | def | Measure/AdicCylinders.lean | ||
ChartPair | abbrev | Blowup/Charts.lean | ||
chartSlope | def | Blowup/Charts.lean | ||
chartSubst | def | Surfaces/Lengths.lean | ||
chartSubst_apply_generators | theorem | Surfaces/Lengths.lean | N0851 | |
chartSubst_surfaceRelation_base_change_and_x_chart | theorem | Surfaces/Lengths.lean | N0853 | |
chartSubst_surfaceRelation_origin_and_unit_point | theorem | Surfaces/Lengths.lean | N0854 | |
child_coordinate_map_scaled | theorem | Blowup/Charts.lean | N0130 | |
child_coordinate_preimage_measure | theorem | Assembly/NullBridges.lean | N0094 | |
child_degree_le | theorem | Formula/LawAlgebra.lean | N0327 | |
child_ideal_generator_transverse_finite | theorem | Blowup/PointTransport.lean | N0274 | |
child_ideal_set_map_iff_stateSet | theorem | Recursion/Termination.lean | N0793 | |
child_ideals_curve_datum | theorem | Blowup/DivisorPoints.lean | Lemma 4.3 | N0183 |
child_order_equiv_linear | theorem | Blowup/TwoChartCurveData.lean | N0309 | |
child_order_index_and_kernel | theorem | Measure/MemberCharts.lean | Proposition 4.4 | N0473 |
child_series_eval_comp_chart_subst | theorem | Surfaces/Regularity.lean | N0913 | |
child_volume_ratio | theorem | Measure/AdicCylinders.lean | Proposition 6.1 | N0394 |
childCoordinateMap | def | Blowup/Charts.lean | ||
childIdealSet | def | Blowup/Charts.lean | ||
ChildMember | structure | Recursion/Members.lean | ||
childOrder | def | Blowup/Charts.lean | ||
childOrderMap | def | Blowup/Charts.lean | ||
children | def | Basic.lean | (4.7)–(4.8) | D008 |
children_degree_identity | theorem | Formula/LawAlgebra.lean | (6.5) | N0325 |
children_residue_degree_pos | theorem | Formula/LawAlgebra.lean | N0326 | |
children_valid | theorem | Formula/LawAlgebra.lean | N0328 | |
chooseTwo | def | Basic.lean | D008 | |
chooseTwo_add | theorem | Reciprocity/Defs.lean | N0501 | |
ClosedDirection | abbrev | Blowup/Directions.lean | ||
closure_finite_ascent | theorem | Algebra/AlgebraType.lean | N0051 | |
closure_finite_ascent_root | theorem | Algebra/AlgebraType.lean | N0056 | |
closure_finite_descent | theorem | Algebra/AlgebraType.lean | N0050 | |
closure_finite_of_separable | theorem | Algebra/AlgebraType.lean | N0057 | |
cluster_formula_regular | theorem | Cluster/Main.lean | Theorem 1.1 | N1022 |
cluster_reciprocity | theorem | Reciprocity/Main.lean | Proof of monic/cluster reciprocity, Theorem 9.3 | N0550 |
cluster_reciprocity_one | theorem | Reciprocity/Patterns.lean | Proof of monic/cluster reciprocity | N0579 |
cluster_reciprocity_step private | theorem | Reciprocity/Main.lean | Proof of monic/cluster reciprocity | |
clusterCell | def | Cluster/Defs.lean | ||
clusterDensity | def | Cluster/Defs.lean | Theorem 1.1 | |
clusterDensity_eq_etale | theorem | Cluster/Main.lean | Theorem 1.1, Remark 1.3 | N1021 |
clusterExpr | def | Cluster/Defs.lean | Theorem 1.1 | |
clusterSer | def | Reciprocity/Defs.lean | (7.5) | D022 |
clusterSer_eq_pPow | theorem | Reciprocity/Plethysm.lean | (9.4) | N0619 |
codilate | def | Reciprocity/Defs.lean | D022 | |
codilate_dilate | theorem | Reciprocity/Quantum.lean | N0678 | |
codilate_pPow | theorem | Reciprocity/Quantum.lean | N0683 | |
Coef | abbrev | Reciprocity/Defs.lean | Type variables Z_{e,f} | D022 |
coeff_adamsSer | theorem | Reciprocity/Defs.lean | N0512 | |
coeff_clusterSer_eq_coeff_qact | theorem | Reciprocity/Main.lean | (S) = (7.11), (8.9), (9.4) | N0549 |
coeff_codilate | theorem | Reciprocity/Quantum.lean | N0676 | |
coeff_dilate | theorem | Reciprocity/Quantum.lean | N0675 | |
coeff_euler_families_eq_patternSum | theorem | Reciprocity/Plethysm.lean | N0626 | |
coeff_eulerSer | theorem | Reciprocity/Patterns.lean | lem-7.2, (G) = (7.9) | N0575 |
coeff_expSer_sub_of_scongr | theorem | Reciprocity/Defs.lean | N0525 | |
coeff_formalPow | theorem | Reciprocity/Plethysm.lean | N0588 | |
coeff_lawCoef | theorem | Reciprocity/Plethysm.lean | N0627 | |
coeff_lawCoef_globalLaw_false | theorem | Reciprocity/Patterns.lean | N0557 | |
coeff_lawCoef_globalLaw_true | theorem | Reciprocity/Patterns.lean | N0558 | |
coeff_logSer_sub_of_scongr | theorem | Reciprocity/Defs.lean | N0526 | |
coeff_one_clusterSer | theorem | Reciprocity/Plethysm.lean | N0612 | |
coeff_one_dilate_recipSer_clusterSer | theorem | Reciprocity/Plethysm.lean | N0616 | |
coeff_one_eulerSer_zero | theorem | Reciprocity/Patterns.lean | N0578 | |
coeff_pPow_sub_of_scongr | theorem | Reciprocity/Plethysm.lean | Pow_v and the first-difference rule | N0593 |
coeff_qact_crossingQ_gaussPhi_eulerSer | theorem | Reciprocity/Patterns.lean | (S) = (7.11) | N0580 |
coeff_qact_gaussPhi | theorem | Reciprocity/Defs.lean | N0534 | |
coeff_qact_gaussPhi_of_lt | theorem | Reciprocity/Defs.lean | (8.10) | N0535 |
coeff_recipCoef_lawCoef | theorem | Reciprocity/Patterns.lean | N0560 | |
coeff_recipSer | theorem | Reciprocity/Quantum.lean | N0672 | |
coeff_subst_eq_sum | theorem | Reciprocity/Defs.lean | N0523 | |
coeff_substAlgHom_kill | theorem | Surfaces/Lengths.lean | N0846 | |
coeff_succ_clusterSer | theorem | Reciprocity/Plethysm.lean | N0611 | |
coeff_zero_clusterSer | theorem | Reciprocity/Plethysm.lean | N0609 | |
coeff_zero_dilate_recipSer_clusterSer | theorem | Reciprocity/Plethysm.lean | N0615 | |
coeff_zero_eulerSer | theorem | Reciprocity/Plethysm.lean | N0614 | |
coefficient_cylinder_mass | theorem | Measure/HenselProducts.lean | N0455 | |
coefficient_measure_pi_one | theorem | Recursion/Members.lean | N0742 | |
coefficient_measure_probability | theorem | Measure/HenselProducts.lean | N0456 | |
coefficient_space_strict_instances | theorem | Blowup/Charts.lean | N0129 | |
coefficient_uniformizer_cylinder_mass | theorem | Measure/HenselProducts.lean | N0458 | |
coefficientMeasure | def | Basic.lean | Monic model | D008 |
coefficientMeasure_zero_null | theorem | Measure/MemberCharts.lean | N0469 | |
coeffVec | def | Unramified/Extension.lean | ||
colored_subset_count | theorem | Measure/AdicCylinders.lean | N0395 | |
common_vertical_exponent | theorem | Measure/AdicCylinders.lean | N0396 | |
commonKernel | def | Blowup/Charts.lean | ||
commonLevelIdeal | def | Blowup/Charts.lean | ||
commonMultiplicity | def | Blowup/Charts.lean | ||
compact_injective_image_measure | theorem | Measure/StateVolumes.lean | N0498 | |
complete_domain_finite_quotient_local | theorem | Unramified/Extension.lean | ||
completed_point_power_contraction | theorem | Blowup/Charts.lean | N0131 | |
completed_point_transport_left | theorem | Blowup/PointTransport.lean | N0268 | |
completed_point_transport_right | theorem | Blowup/PointTransport.lean | N0269 | |
CompletedLocalAt | abbrev | Blowup/Charts.lean | ||
completedPointMap | def | Blowup/Charts.lean | ||
concrete_chart_point_span_form | theorem | Surfaces/ConcretePoints.lean | N0832 | |
concrete_crossing_state_atlas_exists | theorem | Surfaces/ConcreteAtlas.lean | N0827 | |
concrete_crossing_state_eq_union_cells | theorem | Surfaces/Lengths.lean | N0861 | |
concrete_crossing_state_volume | theorem | Surfaces/ConcreteStrictTransforms.lean | Proposition 3.3 | N0840 |
concrete_curve_order_index | theorem | Measure/MemberCharts.lean | Proposition 4.4 | N0474 |
concrete_index_map_reindexed | theorem | Recursion/Termination.lean | N0781 | |
concrete_infinity_boundary_contact | theorem | Blowup/NilpotentGluing.lean | (4.6) | N0249 |
concrete_infinity_point_completion | theorem | Surfaces/ConcretePoints.lean | N0836 | |
concrete_infinity_strict_transform_multiplicity | theorem | Blowup/PointTransport.lean | N0275 | |
concrete_infinity_strict_transform_transverse_finite | theorem | Surfaces/ConcretePoints.lean | N0838 | |
concrete_left_point_completion_instances | theorem | Surfaces/ConcretePoints.lean | N0834 | |
concrete_left_point_completion_is_surface | theorem | Surfaces/ConcretePoints.lean | N0833 | |
concrete_left_point_exceptional_regular | theorem | Surfaces/ConcretePoints.lean | N0835 | |
concrete_member_cell_measurable | theorem | Recursion/Members.lean | N0745 | |
concrete_member_cells_cover | theorem | Recursion/RootCellLaw.lean | Proposition 6.1 | N0778 |
concrete_member_cells_disjoint | theorem | Recursion/ChildMembers.lean | N0708 | |
concrete_member_charts | theorem | Recursion/Members.lean | N0744 | |
concrete_member_curve_order_free | theorem | Recursion/Members.lean | Lemma 2.1 | N0755 |
concrete_member_data_exists | theorem | Recursion/Members.lean | N0746 | |
concrete_member_division_chart_measure | theorem | Recursion/Members.lean | N0753 | |
concrete_member_division_module_isAdicComplete | theorem | Recursion/Members.lean | N0743 | |
concrete_member_divisor_count | theorem | Recursion/OrderDefect.lean | N0764 | |
concrete_member_measure_finite_support | theorem | Recursion/Members.lean | N0748 | |
concrete_member_mul_t_injective | theorem | Recursion/Members.lean | N0749 | |
concrete_member_one_le_degree | theorem | Recursion/Members.lean | N0750 | |
concrete_member_state_generator_contact_length | theorem | Recursion/Members.lean | N0751 | |
concrete_member_state_generator_division | theorem | Recursion/Members.lean | N0756 | |
concrete_member_state_generator_regular | theorem | Recursion/Members.lean | N0752 | |
concrete_member_state_generator_transverse | theorem | Recursion/Members.lean | N0754 | |
concrete_member_stateSet_measurable | theorem | Recursion/Members.lean | N0747 | |
concrete_member_terminal_type | theorem | Recursion/ChildMembers.lean | Lemma 2.2 | N0713 |
concrete_member_volume | theorem | Recursion/Termination.lean | N0792 | |
concrete_residue_ideal_chart_exists | theorem | Surfaces/ChartCompletions.lean | N0805 | |
concrete_single_state_atlas_exists | theorem | Surfaces/ConcreteAtlas.lean | N0828 | |
concrete_single_state_eq_union_cells | theorem | Surfaces/Lengths.lean | N0862 | |
concrete_single_state_volume | theorem | Surfaces/ConcreteStrictTransforms.lean | Proposition 3.3 | N0841 |
concrete_strict_transform_generators | theorem | Blowup/PointTransport.lean | N0276 | |
concrete_strict_transform_multiplicity | theorem | Blowup/StrictNormalizer.lean | (4.6) | N0279 |
concrete_strict_transform_residue_series | theorem | Blowup/NilpotentGluing.lean | N0244 | |
concrete_strict_transform_transverse_finite | theorem | Blowup/StrictNormalizer.lean | N0278 | |
concrete_strict_transforms_are_prescribed | theorem | Surfaces/ConcreteStrictTransforms.lean | N0844 | |
concrete_surface_base_injective | theorem | Surfaces/PowerSeries.lean | N0888 | |
concrete_surface_contact_eq_special_fiber_contact | theorem | Surfaces/Lengths.lean | N0860 | |
concrete_surface_curve_basis | theorem | Surfaces/Regularity.lean | N0911 | |
concrete_surface_curve_free_of_length | theorem | Surfaces/Regularity.lean | Lemma 2.1 | N0912 |
concrete_surface_curve_isAdicComplete | theorem | Surfaces/Completeness.lean | N0824 | |
concrete_surface_data_exists_unconditional | theorem | Surfaces/Regularity.lean | N0910 | |
concrete_surface_equiv_curve_length_and_regular | theorem | Surfaces/PowerSeries.lean | N0890 | |
concrete_surface_equiv_instances | theorem | Surfaces/Regularity.lean | N0904 | |
concrete_surface_equiv_regular_pair | theorem | Surfaces/Regularity.lean | N0906 | |
concrete_surface_isAdicComplete_maximalIdeal | theorem | Surfaces/Completeness.lean | N0822 | |
concrete_surface_isAdicComplete_parameterIdeal | theorem | Surfaces/Completeness.lean | N0821 | |
concrete_surface_isAdicComplete_span_pi | theorem | Surfaces/Completeness.lean | N0823 | |
concrete_surface_isAdicComplete_span_pi_base | theorem | Surfaces/Completeness.lean | N0825 | |
concrete_surface_isDomain | theorem | Surfaces/Regularity.lean | N0903 | |
concrete_surface_isLocalRing | theorem | Surfaces/PowerSeries.lean | N0897 | |
concrete_surface_isNoetherianRing | theorem | Surfaces/Lengths.lean | N0856 | |
concrete_surface_isRegularLocalRing | theorem | Surfaces/Regularity.lean | N0908 | |
concrete_surface_maximalIdeal_eq | theorem | Surfaces/PowerSeries.lean | N0893 | |
concrete_surface_parameterIdeal_isMaximal | theorem | Surfaces/PowerSeries.lean | N0892 | |
concrete_surface_pi_regular | theorem | Surfaces/PowerSeries.lean | N0887 | |
concrete_surface_quotient_parameters_equiv | theorem | Surfaces/PowerSeries.lean | N0891 | |
concrete_surface_quotient_T_equiv | theorem | Surfaces/Completeness.lean | N0813 | |
concrete_surface_regular_pair_tx | theorem | Surfaces/Regularity.lean | N0902 | |
concrete_surface_regular_pair_xt | theorem | Surfaces/Regularity.lean | N0905 | |
concrete_surface_residue_regular_of_special_fiber | theorem | Surfaces/Lengths.lean | N0857 | |
concrete_surface_residueField_equiv | theorem | Surfaces/PowerSeries.lean | N0894 | |
concrete_surface_ringHom_ext_of_isNilpotent | theorem | Surfaces/Completeness.lean | N0817 | |
concrete_surface_ringKrullDim_eq_two | theorem | Surfaces/Regularity.lean | N0909 | |
concrete_surface_single_curve_free | theorem | Blowup/StrictNormalizer.lean | N0289 | |
concrete_surface_span_T_isPrime | theorem | Surfaces/Completeness.lean | N0814 | |
concrete_surface_spanFinrank_le_two | theorem | Surfaces/PowerSeries.lean | N0895 | |
concrete_surface_special_fiber_equiv | theorem | Surfaces/PowerSeries.lean | Lemma 2.1 | N0889 |
concrete_surface_special_fiber_equiv_parameters | theorem | Surfaces/Lengths.lean | N0858 | |
concrete_surface_special_fiber_length_transport | theorem | Blowup/Charts.lean | N0133 | |
concrete_surface_sub_constantCoeff_mem_parameterIdeal | theorem | Surfaces/PowerSeries.lean | N0884 | |
concrete_surface_vertical | theorem | Surfaces/Lengths.lean | N0859 | |
concrete_two_chart_glued_generators_exist | theorem | Blowup/FixedTangentCellBijection.lean | Lemma 4.3 | N0204 |
concrete_type_add_of_index_map | theorem | Recursion/Members.lean | N0757 | |
concrete_universe_exists | theorem | Recursion/RootCellLaw.lean | Theorem 6.2 | N0779 |
concrete_zero_boundary_contact | theorem | Blowup/NilpotentGluing.lean | (4.6) | N0250 |
ConcreteMember | structure | Recursion/Members.lean | ||
ConcreteMember.cellIndex | abbrev | Recursion/Members.lean | ||
ConcreteMember.R | abbrev | Recursion/Members.lean | ||
ConcreteMember.toMeasured | def | Recursion/Members.lean | ||
ConcreteSurface | abbrev | Surfaces/Lengths.lean | (2.1) | |
congruence_bijection_measurable | theorem | Measure/AdicCylinders.lean | N0397 | |
congruence_bijection_measure_preserving | theorem | Measure/StateVolumes.lean | N0497 | |
conjugate_roots_distinct | theorem | Unramified/PolynomialTypes.lean | N1014 | |
conjugateFactor | def | Unramified/Extension.lean | ||
conjugateProduct | def | Unramified/Extension.lean | ||
constantCoeff_adamsSer | theorem | Reciprocity/Defs.lean | N0513 | |
constantCoeff_clusterSer | theorem | Reciprocity/Plethysm.lean | N0610 | |
constantCoeff_eulerSer | theorem | Reciprocity/Plethysm.lean | N0613 | |
constantCoeff_expSer | theorem | Reciprocity/Defs.lean | N0518 | |
constantCoeff_logSer | theorem | Reciprocity/Defs.lean | N0521 | |
constantCoeff_moebiusSum | theorem | Reciprocity/Quantum.lean | N0663 | |
constantCoeff_plethSum | theorem | Reciprocity/Quantum.lean | N0662 | |
constantCoeff_pPow | theorem | Reciprocity/Plethysm.lean | N0590 | |
contact | def | Surfaces/Lengths.lean | ||
contact_fiberT_eq_axisQuotientLength | theorem | Surfaces/TruncatedSeries.lean | N0917 | |
contact_fiberX_eq_axisQuotientLength | theorem | Surfaces/TruncatedSeries.lean | N0918 | |
continuousOn_of_congruence_compatible | theorem | Formula/PatternCounts.lean | N0364 | |
contracted_ideal_map_localization_top | theorem | Blowup/Charts.lean | N0132 | |
contractedLocalCurveIdeal | def | Blowup/Charts.lean | ||
coordinate_constraint_count | theorem | Measure/AdicCylinders.lean | N0398 | |
coordinate_coset_representatives_exist | theorem | Blowup/Charts.lean | N0128 | |
coordinate_cylinder_clopen | theorem | Formula/LawAlgebra.lean | N0352 | |
coordinate_hyperplane_null | theorem | Formula/TypeTransport.lean | Discriminant locus is null | N0385 |
coordinate_ideal_cell_bijection | theorem | Measure/Atlas.lean | Proposition 3.2 | N0423 |
coordinate_ideal_in_residue_cell | theorem | Measure/AdicCylinders.lean | N0399 | |
coordinate_ideal_injective | theorem | Measure/Normalizer.lean | N0478 | |
coordinate_ideal_measurable_chart_sigma | theorem | Surfaces/ConcreteStrictTransforms.lean | N0839 | |
coordinate_ideal_measurableEmbedding | theorem | Recursion/Members.lean | N0758 | |
coordinate_module_pi_quotient_length | theorem | Measure/AdicCylinders.lean | N0400 | |
coordinate_remainder_raises_order | theorem | Measure/AdicCylinders.lean | N0401 | |
coordinate_scale_measure | theorem | Blowup/StrictNormalizer.lean | N0284 | |
coordinate_transition_congruence | theorem | Measure/Normalizer.lean | Lemma 3.1 | N0476 |
coordinateCoset | def | Blowup/Charts.lean | ||
coordinateIdeal | def | Measure/AdicCylinders.lean | ||
coordinateLift | def | Measure/AdicCylinders.lean | ||
coordinateLift_smul_eq_mul | theorem | Measure/AdicCylinders.lean | N0390 | |
coordinateLinear | def | Blowup/Charts.lean | ||
coordinateRemainder | def | Measure/AdicCylinders.lean | ||
coordinateScale | def | Blowup/Charts.lean | ||
coprime_family_linear_injective | theorem | Unramified/Extension.lean | N0935 | |
coprime_family_type_iff | theorem | Formula/TypeTransport.lean | N0380 | |
coprime_of_coprime_residue_dvr | theorem | Unramified/Extension.lean | N0936 | |
coprime_of_monic_reduction_one | theorem | Formula/LawAlgebra.lean | N0353 | |
count_normalizedFactors_divisorAffinePolynomial | theorem | Blowup/Directions.lean | N0180 | |
countSum | def | Reciprocity/Defs.lean | D022 | |
crossing_residue_ideal_count | theorem | Measure/Normalizer.lean | Proposition 3.3 | N0479 |
crossing_special_fiber_length | theorem | Unramified/LocalDescent.lean | Lemma 2.1 | N0991 |
crossing_state_volume | theorem | Measure/Normalizer.lean | Proposition 3.3 | N0480 |
crossingQ | def | Reciprocity/Defs.lean | (7.5), (8.2) | D022 |
crossingQ_eq_qmul_qplus_qdiag_qminus | theorem | Reciprocity/Patterns.lean | (T) = (7.12), Lemma 8.2 | N0576 |
crossingQ_symm | theorem | Reciprocity/Patterns.lean | (H) = (7.4) | N0574 |
crossingQ_zero_zero | theorem | Reciprocity/Patterns.lean | N0573 | |
crossingResidueIdeals | def | Surfaces/Lengths.lean | Allowed residue ideals, cells, occupied points | |
curve_datum_of_parent_function | theorem | Surfaces/ConcreteAtlas.lean | N0831 | |
curve_datum_surj_and_inf_clauses | theorem | Blowup/NilpotentGluing.lean | N0239 | |
curve_ideal_lattice_eq_kernels | theorem | Blowup/CurveOrders.lean | N0134 | |
curve_ideal_lattice_le_sections | theorem | Blowup/CurveOrders.lean | N0135 | |
curve_lattices_antitone | theorem | Blowup/CurveOrders.lean | N0136 | |
curve_limit_equiv_product_threads | theorem | Blowup/TwoChartCurveData.lean | N0308 | |
curve_limit_level_map_exists | theorem | Blowup/CurveOrders.lean | N0137 | |
curve_limit_level_map_surjective | theorem | Blowup/CurveSections.lean | Lemma 4.1 | N0166 |
curve_limit_range_of_stable_level | theorem | Blowup/CechStability.lean | N0119 | |
curve_quotient_complete_equiv_threads | theorem | Blowup/CurveOrders.lean | N0139 | |
curve_section_connecting_class_zero_iff | theorem | Blowup/H0Comparison.lean | N0220 | |
curve_sections_connecting_map_exists | theorem | Recursion/Members.lean | N0759 | |
curve_sections_cover_overlap | theorem | Blowup/CurveSections.lean | N0167 | |
curve_sections_quot_equiv_product | theorem | Blowup/TwoChartCurveData.lean | N0307 | |
curve_sections_quot_reduction_exists | theorem | Blowup/CurveOrders.lean | N0138 | |
curveDataDegree | def | Blowup/Charts.lean | ||
curveIdealLattice | def | Blowup/Charts.lean | ||
curveLimitMk | def | Blowup/Charts.lean | ||
curveNull | def | Blowup/Charts.lean | ||
curveNullThreads | def | Blowup/Charts.lean | ||
CurveOrderLimit | def | Blowup/Charts.lean | ||
curveProduct | abbrev | Blowup/Charts.lean | ||
curveProductReduction | def | Blowup/Charts.lean | ||
curveProductThreads | def | Blowup/Charts.lean | ||
curveSections | def | Blowup/Charts.lean | ||
curveSectionsQuot | def | Blowup/Charts.lean | ||
curveThreads | def | Blowup/Charts.lean | ||
density_value_arith | theorem | Formula/LawAlgebra.lean | N0331 | |
densityValue | abbrev | Basic.lean | D008 | |
derivative_expSer | theorem | Reciprocity/Defs.lean | N0519 | |
descend_block_mem_cell | theorem | Unramified/FrobeniusDescent.lean | N0976 | |
descendBlock | def | Unramified/Extension.lean | ||
descendCoeff | def | Unramified/Extension.lean | ||
descended_block_type_iff | theorem | Assembly/TypeEvents.lean | N0102 | |
descended_polynomial_type | theorem | Unramified/DescentTypes.lean | Lemma 7.1 | N0930 |
digitIter | def | Measure/AdicCylinders.lean | ||
dilate | def | Reciprocity/Defs.lean | N0681 | |
dilate_codilate | theorem | Reciprocity/Quantum.lean | N0679 | |
dilate_mul | theorem | Reciprocity/Quantum.lean | N0677 | |
dilate_pPow | theorem | Reciprocity/Quantum.lean | (7.6) | N0682 |
dilate_recipSer_eulerSer_eq_pPow | theorem | Reciprocity/Plethysm.lean | N0620 | |
dilate_recipSer_eulerSer_mul_scongr_one | theorem | Reciprocity/Plethysm.lean | N0617 | |
direction_child_member_exists | theorem | Recursion/ChildMembers.lean | N0705 | |
direction_point_maximal | theorem | Blowup/ExceptionalLayers.lean | N0197 | |
direction_point_overlap_maximal | theorem | Blowup/ExceptionalLayers.lean | N0198 | |
directionDegree | def | Blowup/Directions.lean | ||
directionDegree_pos | theorem | Formula/PatternCounts.lean | ||
directionPoint | def | Blowup/Charts.lean | ||
directionPoint_isPrime | instance | Blowup/Charts.lean | ||
directionPoint_properties | theorem | Blowup/CurveOrders.lean | N0150 | |
discAffine | def | Measure/MemberCharts.lean | ||
distinct_monic_irreducible_coprime | theorem | Unramified/Extension.lean | N0937 | |
division_chart_preimage_image_measurable | theorem | Measure/Atlas.lean | N0427 | |
division_chart_rank_eq_of_residue_ideal_eq | theorem | Measure/AdicCylinders.lean | N0402 | |
division_chart_same_cell_recenter | theorem | Measure/AdicCylinders.lean | N0404 | |
division_coordinate_module_isAdicComplete | theorem | Surfaces/Completeness.lean | N0826 | |
division_data_same_cell_recenter | theorem | Measure/AdicCylinders.lean | N0403 | |
division_data_vertical_perturbation | theorem | Recursion/Termination.lean | N0782 | |
division_equiv_child_coordinates | theorem | Blowup/CurveOrders.lean | N0158 | |
division_linear_equivalence | theorem | Measure/AdicCylinders.lean | Lemma 3.1 | N0405 |
division_quotient_basis_equiv | theorem | Recursion/Termination.lean | N0783 | |
divisionMap | def | Measure/AdicCylinders.lean | ||
divisor_affine_polynomial_normalized_factors | theorem | Recursion/Termination.lean | N0784 | |
divisor_array_exists_unique | theorem | Assembly/TypeEvents.lean | N0103 | |
divisor_count_eval_of_point_count | theorem | Assembly/TypeEvents.lean | N0105 | |
divisor_count_of_point_set | theorem | Assembly/TypeEvents.lean | N0104 | |
divisor_count_safe | theorem | Formula/LawAlgebra.lean | N0332 | |
divisor_form_cell_law | theorem | Assembly/MonicCells.lean | N0088 | |
divisor_probability_pos | theorem | Formula/StateCombinatorics.lean | N0373 | |
divisor_probability_safe | theorem | Formula/LawAlgebra.lean | N0333 | |
divisor_vector_properties | theorem | Assembly/TypeEvents.lean | N0107 | |
divisorAffinePolynomial | def | Blowup/Directions.lean | ||
divisorBoundary | def | Blowup/Charts.lean | ||
DivisorContactCondition | abbrev | Recursion/Termination.lean | ||
divisorCount | def | Basic.lean | (6.3) | D008 |
divisorException | def | Blowup/Charts.lean | ||
divisorFromSurface | def | Recursion/Members.lean | ||
divisorLocalRing | def | Blowup/Charts.lean | ||
divisorLocalRing_commRing | instance | Blowup/Charts.lean | ||
divisorProbability | def | Basic.lean | Proposition 6.1 | D008 |
divisorStrictTransform | def | Blowup/Charts.lean | ||
divisorSupport | def | Blowup/Directions.lean | ||
divisorSupport_finite | instance | Blowup/Directions.lean | ||
divisorVector | def | Assembly/NullBridges.lean | ||
dropCoord | def | Unramified/Extension.lean | ||
dvr_algEquiv_ramification_inertia | theorem | Unramified/FactorCells.lean | N0951 | |
dvr_extension_maximalIdeal_map_eq_pow | theorem | Unramified/Extension.lean | N0938 | |
dvr_isAdicComplete_span_uniformizer | theorem | Surfaces/Lengths.lean | N0863 | |
dvr_maximalIdeal_pow_injective | theorem | Unramified/Extension.lean | N0939 | |
eminusOne | def | Basic.lean | D008 | |
eq_of_mul_derivative_eq_mul | theorem | Reciprocity/Plethysm.lean | N0584 | |
eq_zero_of_scalar_mul_eq_zero | theorem | Reciprocity/Quantum.lean | N0692 | |
equiv_of_fiber_card_eq | theorem | Recursion/Termination.lean | N0786 | |
etale_adjoinRoot_of_separable | theorem | Etale/Algebra.lean | N1024 | |
etale_invariant_children | theorem | Recursion/OrderDefect.lean | N0762 | |
etale_type_event_eq_term | theorem | Recursion/Termination.lean | N0799 | |
etale_type_event_measurable | theorem | Recursion/Events.lean | N0734 | |
etaleMonicDensity | def | Etale/Defs.lean | ||
etaleMonicDensity_eq_algebraType | theorem | Etale/Algebra.lean | Remark 1.3 | N1025 |
etaleProjectiveDensity | def | Etale/Defs.lean | ||
eulerSer | def | Reciprocity/Defs.lean | lem-7.2, (7.10) | D022 |
eval_at_pow_card | theorem | Unramified/Extension.lean | N0940 | |
eval₂_C_X_eq_algebraMap | theorem | Reciprocity/Defs.lean | ||
exceptional_chart_is_affine_line | theorem | Blowup/CurveOrders.lean | N0145 | |
exceptional_line_equiv_chart_exceptional | theorem | Blowup/CurveOrders.lean | N0146 | |
exceptional_line_equiv_residue_field | theorem | Blowup/CurveOrders.lean | N0147 | |
exceptional_overlap_is_laurent_line | theorem | Blowup/CurveOrders.lean | N0148 | |
ExceptionalChartLevel | abbrev | Blowup/Charts.lean | ||
exceptionalDegree | def | Blowup/Directions.lean | ||
ExceptionalDivisor | abbrev | Blowup/Directions.lean | ||
exceptionalLevelIdeal | def | Blowup/Charts.lean | ||
ExceptionalOverlapLevel | abbrev | Blowup/Charts.lean | ||
exists_pow_le_span_pair_transport | theorem | Blowup/CurveSections.lean | N0171 | |
exists_separable_monic | theorem | Measure/MemberCharts.lean | N0468 | |
exists_unique_selfPattern_single | theorem | Reciprocity/Plethysm.lean | (6.6) | N0596 |
exists_unramified_lift | theorem | Formula/TypeTransport.lean | N0381 | |
exit_cell_coeff_nonneg | theorem | Recursion/Events.lean | N0721 | |
exit_cell_type_mass | theorem | Recursion/Events.lean | N0722 | |
exit_event_succ_mass | theorem | Recursion/Events.lean | Proof of Theorem 6.2 | N0724 |
exit_event_zero_mass | theorem | Recursion/Events.lean | N0727 | |
exitLaw | def | Formula/StateCombinatorics.lean | (6.6) | |
Expr | inductive | Basic.lean | Type variables Z_{e,f} | D008 |
Expr.allSafe | def | Basic.lean | D008 | |
Expr.eval | def | Basic.lean | D008 | |
Expr.fraction | def | Basic.lean | D008 | |
Expr.fraction_snd_ne_zero | theorem | Reciprocity/Plethysm.lean | N0600 | |
Expr.neg | def | Basic.lean | D008 | |
Expr.pow | def | Basic.lean | N0699 | |
Expr.prod | def | Basic.lean | D008 | |
Expr.rational | def | Basic.lean | D008 | |
Expr.rational_add | theorem | Reciprocity/Plethysm.lean | N0601 | |
Expr.rational_const | theorem | Reciprocity/Plethysm.lean | N0604 | |
Expr.rational_inv | theorem | Reciprocity/Plethysm.lean | N0603 | |
Expr.rational_mul | theorem | Reciprocity/Plethysm.lean | N0602 | |
Expr.rational_pow | theorem | Reciprocity/Plethysm.lean | N0622 | |
Expr.rational_sub | theorem | Reciprocity/Plethysm.lean | N0623 | |
Expr.rational_sum | theorem | Reciprocity/Plethysm.lean | N0621 | |
Expr.rational_var | theorem | Reciprocity/Plethysm.lean | N0605 | |
Expr.safe | def | Basic.lean | D008 | |
Expr.sub | def | Basic.lean | D008 | |
Expr.subst | def | Basic.lean | D008 | |
Expr.sum | def | Basic.lean | D008 | |
Expr.wf | def | Reciprocity/Defs.lean | D022 | |
Expr.wf_pow | theorem | Reciprocity/Plethysm.lean | N0598 | |
expression_fraction | theorem | Formula/LawAlgebra.lean | N0321 | |
expression_pow_eval | theorem | Formula/LawAlgebra.lean | ||
expression_pow_safe | theorem | Formula/LawAlgebra.lean | N0318 | |
expression_prod_eval | theorem | Formula/LawAlgebra.lean | N0319 | |
expression_regular | theorem | Formula/LawAlgebra.lean | N0322 | |
expression_sum_eval | theorem | Formula/LawAlgebra.lean | ||
expression_sum_safe | theorem | Formula/LawAlgebra.lean | N0320 | |
expSer | def | Reciprocity/Defs.lean | N0702 | |
expSer_add | theorem | Reciprocity/Plethysm.lean | N0585 | |
expSer_logSer | theorem | Reciprocity/Plethysm.lean | (7.6) | N0586 |
expSer_zero | theorem | Reciprocity/Defs.lean | N0520 | |
factor_cell_product_measure | theorem | Unramified/PolynomialTypes.lean | N1010 | |
factor_cells_measure_preserving | theorem | Unramified/HomogeneousCells.lean | Lemma 7.1 | N0985 |
factor_invariant_algEquiv | theorem | Algebra/FactorInvariant.lean | N0071 | |
factor_invariant_unramified_scale | theorem | Unramified/DescentTypes.lean | N0928 | |
factor_product_bijection | theorem | Unramified/FactorCells.lean | N0954 | |
factor_product_congruence_iff | theorem | Unramified/PolynomialTypes.lean | N1006 | |
factor_product_continuous | theorem | Unramified/Extension.lean | N0941 | |
factorInvariant | def | Basic.lean | Monic model | D008 |
factorProduct | def | Unramified/Extension.lean | ||
FactorType | abbrev | Basic.lean | Type of degree n | D008 |
falling | def | Basic.lean | (6.3) | D008 |
fiberT | def | Surfaces/Lengths.lean | ||
fiberX | def | Surfaces/Lengths.lean | ||
field_invariant_algEquiv | theorem | Algebra/FactorInvariant.lean | N0070 | |
field_invariant_unramified_tower | theorem | Unramified/DescentTypes.lean | (6.4) | N0924 |
fieldInvariant | def | Algebra/AlgebraType.lean | Reduced-algebra type convention | |
finite_colength_completion_ideal_descent | theorem | Unramified/LocalDescent.lean | N0994 | |
finite_completed_point_quotient_surjective | theorem | Unramified/LocalDescent.lean | N0995 | |
finite_coordinate_adic_congruence | theorem | Measure/AdicCylinders.lean | N0406 | |
finite_coordinate_borel_cylinders | theorem | Measure/AdicCylinders.lean | N0408 | |
finite_coordinate_cylinder_basis | theorem | Measure/AdicCylinders.lean | N0407 | |
finite_coordinate_linear_continuous | theorem | Measure/AdicCylinders.lean | N0409 | |
finite_curve_support_kernel_saturated | theorem | Blowup/CurveOrders.lean | N0157 | |
finite_field_card_primePower | theorem | Formula/FiniteFieldCounts.lean | N0316 | |
finite_field_frobenius_fixed_points | theorem | Unramified/Extension.lean | N0942 | |
finite_field_irreducible_count | theorem | Formula/FiniteFieldCounts.lean | (6.2) | |
finite_flat_local_ramification_degree | theorem | Formula/LawAlgebra.lean | N0355 | |
finite_free_adic_complete | theorem | Unramified/Extension.lean | ||
finite_free_residue_quotient | theorem | Unramified/Extension.lean | ||
finite_length_module_card | theorem | Formula/FiniteFieldCounts.lean | N0317 | |
finite_measures_from_cylinders | theorem | Measure/AdicTransport.lean | N0417 | |
finite_module_length_card | theorem | Measure/Normalizer.lean | N0481 | |
finite_quotient_event_mass | theorem | Measure/AdicTransport.lean | N0420 | |
finite_quotient_fiber_mass | theorem | Measure/AdicTransport.lean | N0418 | |
finite_support_completion_recovers | theorem | Blowup/CurveOrders.lean | N0152 | |
finite_support_generators_compatible | theorem | Blowup/CurveOrders.lean | N0155 | |
finite_support_kernel_localize | theorem | Blowup/PointTransport.lean | N0253 | |
finite_support_level_generator_regular | theorem | Blowup/NilpotentGluing.lean | N0242 | |
finite_support_level_kernels_principal | theorem | Blowup/NilpotentGluing.lean | N0236 | |
finite_support_quotient_equiv | theorem | Blowup/CurveOrders.lean | Lemma 4.3 | N0156 |
finite_support_quotient_surjective | theorem | Blowup/CurveOrders.lean | N0154 | |
finite_support_quotient_surjective_of_isPrime | theorem | Blowup/CurveOrders.lean | N0153 | |
finite_types_of_degree | theorem | Formula/LawAlgebra.lean | ||
finiteCechDifferential | def | Blowup/Charts.lean | ||
FiniteContact | abbrev | Blowup/Charts.lean | ||
finiteLocalCurveIdeal | def | Blowup/Charts.lean | ||
finiteSupportKernel | def | Blowup/Charts.lean | ||
finiteSupportLevelKernel | def | Blowup/Charts.lean | ||
finiteSupportQuotientMap | def | Blowup/Charts.lean | ||
fixed_tangent_cell_chart_measurable | theorem | Blowup/H0Comparison.lean | N0226 | |
fixed_tangent_cell_chart_partition | theorem | Blowup/H0Comparison.lean | N0225 | |
fixed_tangent_cell_curve_datum | theorem | Blowup/DivisorPoints.lean | N0185 | |
fixed_tangent_cell_generator_coefficients | theorem | Blowup/PointTransport.lean | N0256 | |
fixedTangentCell | def | Blowup/Charts.lean | ||
form_cell_monic_identification | theorem | Unramified/HomogeneousCells.lean | N0986 | |
form_cell_product_measure | theorem | Unramified/FactorCells.lean | N0957 | |
form_cells_measure_preserving | theorem | Unramified/HomogeneousCells.lean | Lemma 7.1 | N0988 |
form_product_bijection | theorem | Unramified/PolynomialTypes.lean | N1003 | |
form_product_congruence_reflects | theorem | Unramified/PolynomialTypes.lean | N1002 | |
form_product_maps_to_and_preserves | theorem | Unramified/Extension.lean | N0944 | |
form_product_measurable | theorem | Unramified/HomogeneousCells.lean | N0987 | |
form_product_type_event_law | theorem | Assembly/TypeEvents.lean | N0114 | |
formalPow | def | Reciprocity/Defs.lean | D022 | |
formPoly | def | Unramified/Extension.lean | ||
formPoly_add | theorem | Unramified/Extension.lean | N0943 | |
formPoly_natDegree_le | theorem | Assembly/TypeEvents.lean | N0108 | |
formProd | def | Unramified/Extension.lean | ||
forms_linear_bijective | theorem | Unramified/Extension.lean | N0946 | |
forms_linear_injective | theorem | Unramified/Extension.lean | N0945 | |
FormsCoprime | def | Unramified/Extension.lean | ||
FormulaRegular | def | Basic.lean | D008 | |
frobenius_fixed_ring | theorem | Unramified/FrobeniusDescent.lean | Standard facts | N0973 |
frobenius_fraction_extension | theorem | Unramified/DescentTypes.lean | N0926 | |
frobenius_pow_degree_eq_id | theorem | Unramified/FrobeniusDescent.lean | N0974 | |
frobeniusIter | def | Unramified/Extension.lean | ||
frobeniusRoot | def | Unramified/Extension.lean | ||
full_rank_free_submodule_finite_length | theorem | Recursion/Termination.lean | N0787 | |
fullCechDifferential | def | Blowup/Charts.lean | ||
gaussPhi | def | Reciprocity/Defs.lean | (7.10) | D022 |
gaussPhi_dilate | theorem | Reciprocity/Quantum.lean | N0685 | |
gaussPhi_dilate_recipSer_clusterSer private | theorem | Reciprocity/Main.lean | (9.4) | |
gaussPhi_qactRecip_gaussPhiInv | theorem | Reciprocity/Quantum.lean | Lemma 9.1 | N0687 |
gaussPhi_sub | theorem | Reciprocity/Quantum.lean | N0686 | |
gaussPhiInv | def | Reciprocity/Defs.lean | D022 | |
generatorNormalForm | def | Measure/AdicCylinders.lean | ||
generic_closure_free_of_type | theorem | Recursion/Termination.lean | N0798 | |
GenericClosure | def | Algebra/AlgebraType.lean | ||
genericClosureVal | def | Algebra/AlgebraType.lean | ||
geometric_exit_sum | theorem | Formula/LawAlgebra.lean | Proof of Theorem 6.2 | N0356 |
global_coefficients_safe | theorem | Formula/StateCombinatorics.lean | N0376 | |
global_formula_regular | theorem | Formula/StateCombinatorics.lean | Theorem 1.1, Theorem 6.2 | N0377 |
global_function_has_tangent_divisor | theorem | Blowup/DivisorPoints.lean | N0190 | |
global_function_mem_cell | theorem | Blowup/DivisorPoints.lean | N0191 | |
global_function_of_two_chart_curve_data | theorem | Recursion/Termination.lean | N0788 | |
global_function_strict_transform_at_right_point | theorem | Blowup/TwoChartCurveData.lean | N0311 | |
global_law_safe | theorem | Formula/StateCombinatorics.lean | N0375 | |
global_rational_eval | theorem | Formula/RationalEval.lean | N0365 | |
globalLaw | def | Basic.lean | (1.5), (7.3) | D008 |
glued_function_exists_unique | theorem | Blowup/H0Comparison.lean | Lemma 4.2 | N0222 |
glued_function_initial_form | theorem | Blowup/H0Comparison.lean | N0217 | |
glued_function_left_chart | theorem | Blowup/CurveOrders.lean | N0140 | |
glued_function_order | theorem | Blowup/H0Comparison.lean | N0216 | |
glued_function_pair_closed | theorem | Blowup/CurveOrders.lean | N0142 | |
glued_function_pair_compatible | theorem | Blowup/CurveOrders.lean | N0143 | |
glued_function_right_chart | theorem | Blowup/CurveOrders.lean | N0141 | |
glued_generators_exist | theorem | Blowup/CurveSections.lean | Lemma 4.3 | N0168 |
glued_generators_level_one | theorem | Blowup/CurveOrders.lean | N0144 | |
glued_generators_of_two_chart_curve_data | theorem | Blowup/TwoChartCurveData.lean | N0310 | |
glued_level_one_normalization | theorem | Blowup/ExceptionalLayers.lean | N0192 | |
gluedFunctionPair | def | Blowup/Charts.lean | ||
GluedGenerators | structure | Blowup/Charts.lean | ||
has_multiplicity_initial_form | theorem | Recursion/Termination.lean | N0789 | |
has_tangent_divisor_multiplicity | theorem | Blowup/H0Comparison.lean | N0209 | |
HasAlgebraType | def | Algebra/AlgebraType.lean | Reduced-algebra type convention | |
HasArray | def | Assembly/NullBridges.lean | ||
HasBinaryType | def | Basic.lean | Projective model | D008 |
HasBinaryTypeF | def | Basic.lean | D008 | |
HasHomogeneousDivisor | def | Blowup/Directions.lean | ||
HasMultiplicity | def | Surfaces/Lengths.lean | ||
HasPattern | def | Blowup/Directions.lean | ||
HasPolynomialType | def | Basic.lean | Monic model | D008 |
HasPolynomialTypeF | def | Basic.lean | Reduced-algebra type convention, Remark 6.3 | D008 |
HasPolynomialTypeF.to_original | theorem | Algebra/AlgebraType.lean | N0058 | |
hasPolynomialTypeF_iff_of_separable | theorem | Algebra/AlgebraType.lean | N0059 | |
HasTangentDivisor | def | Blowup/Charts.lean | Allowed residue ideals, cells, occupied points, (4.6) | |
hensel_factor_unique_of_dvd | theorem | Unramified/Extension.lean | N0947 | |
hensel_family_exists | theorem | Measure/HenselProducts.lean | N0436 | |
hensel_family_unique | theorem | Unramified/Extension.lean | N0948 | |
hensel_family_unique_mod_pow | theorem | Unramified/PolynomialTypes.lean | N1004 | |
hensel_pair_exists | theorem | Measure/HenselProducts.lean | N0435 | |
hensel_pair_unique | theorem | Measure/HenselProducts.lean | N0438 | |
homogeneous_divisor_boundary_multiplicities | theorem | Recursion/Termination.lean | (4.6) | N0791 |
homogeneous_divisor_of_polynomial | theorem | Recursion/Termination.lean | N0790 | |
homogeneous_form_not_mem_pow_succ | theorem | Blowup/CurveOrders.lean | N0151 | |
ideal_chart_pushforward_independent | theorem | Measure/Atlas.lean | Proposition 3.2 | N0426 |
ideal_chart_transition_haar | theorem | Measure/Atlas.lean | Proposition 3.2 | N0425 |
ideal_closed_noetherian_local | theorem | Surfaces/Lengths.lean | N0865 | |
ideal_contact_generator | theorem | Blowup/CurveOrders.lean | N0159 | |
IdealAtlas | structure | Measure/AdicCylinders.lean | ||
IdealChart | structure | Measure/AdicCylinders.lean | Proposition 3.2 | |
IdealChart.isDivisionChart | theorem | Measure/AdicCylinders.lean | N0391 | |
idealChartSigma | def | Measure/AdicCylinders.lean | Proposition 3.2 | |
idealContact | def | Surfaces/Lengths.lean | ||
idealTransition | def | Measure/AdicCylinders.lean | ||
iInf_sup_pow_eq_of_isLocalRing | theorem | Surfaces/Lengths.lean | N0864 | |
image_measurable_of_continuousOn_injOn_compact | theorem | Formula/LawAlgebra.lean | N0357 | |
inertiaDeg_unramified_tower | theorem | Unramified/FrobeniusDescent.lean | N0965 | |
infinity_block_event_law | theorem | Assembly/MonicCells.lean | N0087 | |
infinity_point_child_member | theorem | Recursion/Termination.lean | N0794 | |
infinity_point_maximal | theorem | Blowup/ExceptionalLayers.lean | N0199 | |
infinityBlockEvent | def | Assembly/NullBridges.lean | ||
infinityDirection | def | Blowup/Directions.lean | ||
infinityPoint | def | Blowup/Charts.lean | ||
initial_form_has_tangent_divisor | theorem | Recursion/Termination.lean | (4.6) | N0795 |
initial_form_lift_independent | theorem | Blowup/H0Comparison.lean | N0210 | |
insertOne | def | Unramified/Extension.lean | ||
instance@L213 | instance | Blowup/Charts.lean | ||
instance@L217 | instance | Blowup/Charts.lean | ||
instance@L588 | instance | Blowup/Charts.lean | ||
instance@L591 | instance | Blowup/Charts.lean | ||
instance@L594 | instance | Blowup/Charts.lean | ||
instance@L597 | instance | Blowup/Charts.lean | ||
instance@L686 | instance | Blowup/Charts.lean | ||
instance@L692 | instance | Blowup/Charts.lean | ||
instance@L83 | instance | Algebra/AlgebraType.lean | ||
instance@L87 | instance | Algebra/AlgebraType.lean | ||
integral_closure_algEquiv | theorem | Algebra/AlgebraType.lean | N0065 | |
integral_closure_finite_free | theorem | Algebra/AlgebraType.lean | Standard facts | |
integral_closure_invariants_degree | theorem | Algebra/AlgebraType.lean | N0066 | |
integral_closure_is_dedekind | theorem | Algebra/AlgebraType.lean | ||
integral_closure_is_dvr | theorem | Measure/PrimitiveLocus.lean | Standard facts | |
integral_closure_is_local | theorem | Measure/PrimitiveLocus.lean | ||
integral_closure_not_field | theorem | Algebra/AlgebraType.lean | ||
integral_closure_own_adic_complete | theorem | Measure/PrimitiveLocus.lean | N0490 | |
integral_local_extension_unique_prime | theorem | Formula/LawAlgebra.lean | N0354 | |
integralClosureTowerEquiv | def | Algebra/AlgebraType.lean | ||
invariant_orbit_factors | theorem | Unramified/Extension.lean | N0949 | |
invSelf_pow_eq_selfZPow | theorem | Blowup/NilpotentGluing.lean | N0231 | |
irreducible_count_moebius | theorem | Surfaces/Lengths.lean | (6.2) | |
isAdicComplete_of_isAdicComplete_maximalIdeal | theorem | Surfaces/Lengths.lean | N0866 | |
isAdicComplete_pi | theorem | Measure/HenselProducts.lean | N0439 | |
isAdicComplete_prod | theorem | Surfaces/Lengths.lean | N0867 | |
isAdicComplete_quotient_of_iInf_sup_pow | theorem | Surfaces/Lengths.lean | N0868 | |
isCoprime_of_isCoprime_map_residue | theorem | Measure/HenselProducts.lean | N0437 | |
IsDivisionChart | def | Measure/AdicCylinders.lean | ||
isDomain_of_regular_prime_element | theorem | Surfaces/Lengths.lean | N0869 | |
IsEtaleForm | def | Etale/Defs.lean | Remark 1.3 | |
isEtaleForm_of_good | theorem | Etale/Main.lean | N1029 | |
isUnit_mk_truncIdeal_iff | theorem | Surfaces/TruncatedSeries.lean | N0921 | |
IsUnramifiedLift | def | Unramified/Extension.lean | ||
killT | def | Surfaces/Lengths.lean | ||
killTFamily | def | Surfaces/Lengths.lean | ||
killTFamily_hasSubst | theorem | Surfaces/Lengths.lean | ||
killX | def | Surfaces/Lengths.lean | ||
killXFamily | def | Surfaces/Lengths.lean | ||
killXFamily_hasSubst | theorem | Surfaces/Lengths.lean | ||
laurent_isUnit_iff_monomial | theorem | Blowup/CurveOrders.lean | N0149 | |
laurent_nonnegative_twist_kernel | theorem | Blowup/ExceptionalLayers.lean | N0193 | |
laurent_split_nonnegative_twist | theorem | Blowup/ExceptionalLayers.lean | N0194 | |
Law | abbrev | Basic.lean | Type variables Z_{e,f} | D008 |
law_coeff_descend | theorem | Formula/LawAlgebra.lean | N0334 | |
law_coeff_flatMap | theorem | Formula/LawAlgebra.lean | N0342 | |
law_coeff_mul | theorem | Formula/LawAlgebra.lean | N0343 | |
law_coeff_nonneg_closure | theorem | Formula/LawAlgebra.lean | N0348 | |
law_coeff_prod_descend | theorem | Formula/LawAlgebra.lean | N0345 | |
law_coeff_prod_formula | theorem | Formula/LawAlgebra.lean | N0346 | |
law_coeff_scale | theorem | Formula/LawAlgebra.lean | N0347 | |
law_safe_descend | theorem | Formula/LawAlgebra.lean | N0349 | |
law_safe_mul | theorem | Formula/LawAlgebra.lean | N0350 | |
law_safe_scale | theorem | Formula/LawAlgebra.lean | N0351 | |
lawAtom | def | Basic.lean | D008 | |
lawCoef | def | Reciprocity/Defs.lean | Type variables Z_{e,f} | D022 |
lawCoef_flatMap | theorem | Reciprocity/Plethysm.lean | N0608 | |
lawCoef_globalLaw_false | theorem | Reciprocity/Patterns.lean | (G) = (7.9) | N0565 |
lawCoef_globalLaw_false_eq_recipCoef | theorem | Reciprocity/Main.lean | Theorem 1.2, Lemma 9.2 | N0551 |
lawCoef_globalLaw_true | theorem | Reciprocity/Patterns.lean | (G) = (7.9) | N0566 |
lawCoef_lawProd | theorem | Reciprocity/Plethysm.lean | N0618 | |
lawCoef_lawScale | theorem | Reciprocity/Plethysm.lean | N0607 | |
lawCoef_nil | theorem | Reciprocity/Plethysm.lean | N0606 | |
lawCoef_single_self_term | theorem | Reciprocity/Patterns.lean | (S) = (7.11) | N0581 |
lawCoef_single_term | theorem | Reciprocity/Patterns.lean | N0567 | |
lawCoeff | def | Basic.lean | Type variables Z_{e,f} | D008 |
lawDescend | def | Basic.lean | (6.4) | D008 |
lawInterp | def | Formula/LawAlgebra.lean | ||
lawInterp_append | theorem | Formula/LawAlgebra.lean | N0336 | |
lawInterp_coeff | theorem | Formula/LawAlgebra.lean | N0341 | |
lawInterp_flatMap | theorem | Formula/LawAlgebra.lean | N0337 | |
lawInterp_lawMul | theorem | Formula/LawAlgebra.lean | N0338 | |
lawInterp_lawProd | theorem | Formula/LawAlgebra.lean | N0340 | |
lawInterp_lawScale | theorem | Formula/LawAlgebra.lean | N0339 | |
lawInterp_nil | theorem | Formula/LawAlgebra.lean | N0335 | |
lawMul | def | Basic.lean | Type variables Z_{e,f} | D008 |
lawOne | def | Basic.lean | D008 | |
lawProd | def | Basic.lean | D008 | |
LawSafe | def | Basic.lean | D008 | |
LawSafe.lawWf | theorem | Reciprocity/Plethysm.lean | N0628 | |
lawScale | def | Basic.lean | D008 | |
LawWf | def | Reciprocity/Defs.lean | D022 | |
LawWf.wf_lawCoeff | theorem | Reciprocity/Plethysm.lean | N0629 | |
lawWf_globalLaw | theorem | Reciprocity/Patterns.lean | N0556 | |
lawWf_stateLaw | theorem | Reciprocity/Patterns.lean | N0555 | |
leftCurveIdeal | def | Blowup/Charts.lean | ||
leftData | def | Blowup/Charts.lean | ||
leftKernel | def | Blowup/Charts.lean | ||
leftLevelIdeal | def | Blowup/Charts.lean | ||
leftLevelKernel | def | Blowup/Charts.lean | ||
leftMultiplicity | def | Blowup/Charts.lean | ||
leftPoint | def | Blowup/Charts.lean | ||
leftPoint_isPrime | instance | Blowup/Charts.lean | ||
leftResidueDegree | def | Blowup/Charts.lean | ||
length_double_quotient_eq | theorem | Surfaces/Lengths.lean | N0870 | |
length_quotient_sup_mul_eq_add | theorem | Surfaces/Lengths.lean | N0871 | |
length_quotient_sup_pow_eq_mul | theorem | Surfaces/Lengths.lean | N0872 | |
length_scaling_of_residue_card | theorem | Measure/Normalizer.lean | N0482 | |
level_one_kernel_polynomial | theorem | Blowup/DivisorPoints.lean | N0186 | |
levelBase | def | Blowup/Charts.lean | ||
levelOverlapMap | def | Blowup/Charts.lean | ||
levelReduction | def | Blowup/Charts.lean | ||
levelSlope | def | Blowup/Charts.lean | ||
linear_composition_index | theorem | Blowup/PointTransport.lean | N0251 | |
linear_image_bound_from_cokernel_length | theorem | Measure/HenselProducts.lean | N0442 | |
linear_map_preserves_adic_congruence | theorem | Measure/HenselProducts.lean | N0440 | |
list_get_fiber_card | theorem | Formula/LawAlgebra.lean | N0358 | |
list_get_fiber_card_count | theorem | Recursion/Termination.lean | N0796 | |
local_algEquiv_maximalIdeal | theorem | Unramified/Extension.lean | N0950 | |
local_completion_finite_quotient | theorem | Unramified/LocalDescent.lean | N0993 | |
local_law_safe | theorem | Formula/StateCombinatorics.lean | Theorem 6.2 | N0374 |
LocalCompletion | abbrev | Blowup/Charts.lean | ||
localCompletionMap | def | Blowup/Charts.lean | ||
localCurve | def | Blowup/Charts.lean | ||
localException | def | Blowup/Charts.lean | ||
localFromSurface | def | Blowup/Charts.lean | ||
localization_principal_quotient_commute | theorem | Blowup/PointTransport.lean | N0254 | |
LocallyTransverse | abbrev | Blowup/Charts.lean | ||
localQuotient | abbrev | Blowup/Charts.lean | ||
localRing | def | Blowup/Charts.lean | ||
localRing_commRing | instance | Blowup/Charts.lean | ||
localSection | def | Blowup/Charts.lean | ||
logSer | def | Reciprocity/Defs.lean | N0703 | |
logSer_expSer | theorem | Reciprocity/Plethysm.lean | (7.6) | N0587 |
main_dvr | theorem | Main.lean | Theorem 1.1, Remark 1.3 | N0387 |
main_dvr_cluster | theorem | Cluster/Main.lean | Theorem 1.1, Remark 1.3 | N1017 |
main_dvr_etale | theorem | Etale/Main.lean | Theorem 1.1, Remark 1.3 | N1034 |
main_field_form | theorem | Main.lean | Theorem 1.1 | N0388 |
main_field_form_ramified | theorem | Main.lean | Theorem 1.1 | N0389 |
map_maximalIdeal_localCompletion | theorem | Blowup/CurveSections.lean | N0172 | |
map_maximalIdeal_localCompletion_comap_le | theorem | Blowup/CurveSections.lean | N0174 | |
map_maximalIdeal_localCompletion_transport | theorem | Blowup/CurveSections.lean | N0173 | |
matches_divisor_degree | theorem | Blowup/DivisorPoints.lean | Lemma 4.3 | N0184 |
matches_divisor_level_one_polynomial | theorem | Blowup/DivisorPoints.lean | N0188 | |
MatchesDivisor | structure | Blowup/Charts.lean | ||
maximal_ideal_power_kills | theorem | Measure/HenselProducts.lean | N0441 | |
maximalIdeal_twoSeries | theorem | Surfaces/TruncatedSeries.lean | ||
measurableEmbedding_pi | theorem | Measure/HenselProducts.lean | N0443 | |
measurableSet_inter_of_bijOn | theorem | Assembly/TypeEvents.lean | N0111 | |
measurableSet_smul_image | theorem | Assembly/NullBridges.lean | N0093 | |
measure_eq_sum_prod_of_preimage | theorem | Assembly/TypeEvents.lean | N0112 | |
MeasuredSurface | structure | Recursion/Members.lean | ||
MeasuredSurface.allowedPattern | abbrev | Recursion/Members.lean | ||
MeasuredSurface.cell | def | Recursion/Members.lean | ||
MeasuredSurface.cellDegree | def | Recursion/Members.lean | ||
MeasuredSurface.cellIndex | abbrev | Recursion/Members.lean | ||
MeasuredSurface.childDelta | def | Recursion/Members.lean | ||
MeasuredSurface.childIdx | abbrev | Recursion/Members.lean | ||
MeasuredSurface.childList | def | Recursion/Members.lean | ||
MeasuredSurface.childState | def | Recursion/Members.lean | ||
MeasuredSurface.IsSelfCell | def | Recursion/Members.lean | ||
MeasuredSurface.measurableSpaceIdeal | instance | Recursion/Members.lean | ||
MeasuredSurface.q | abbrev | Recursion/Members.lean | ||
MeasuredSurface.stateSet | abbrev | Recursion/Members.lean | ||
MeasuredSurface.μ | def | Recursion/Members.lean | ||
member_cell_box_measurable | theorem | Measure/MemberBoxes.lean | Theorem 5.1 | N0460 |
member_cell_box_measure | theorem | Measure/MemberBoxes.lean | (1.7), Theorem 5.1, Proposition 6.1 | N0461 |
member_cell_chart_coset_decomposition | theorem | Measure/MemberCharts.lean | N0471 | |
member_center_linear_part | theorem | Measure/Haar.lean | Theorem 5.1 | N0433 |
member_chart_translate | theorem | Measure/MemberCharts.lean | N0462 | |
member_children_degree_sum | theorem | Measure/MemberCharts.lean | N0463 | |
member_coefficient_measure_map_product_coordinates | theorem | Measure/MemberCharts.lean | N0464 | |
member_product_chart_pushforward | theorem | Measure/MemberCharts.lean | N0472 | |
mk_mem_principalLayer | theorem | Blowup/NilpotentGluing.lean | N0234 | |
module_length_quotient_ringEquiv | theorem | Surfaces/Lengths.lean | N0873 | |
moebiusSum | def | Reciprocity/Defs.lean | N0583 | |
moebiusSum_plethSum | theorem | Reciprocity/Quantum.lean | (7.6) | N0659 |
monic_cell_law | theorem | Assembly/MonicCells.lean | Lemma 7.1 | N0089 |
monic_cells_partition | theorem | Assembly/MonicCells.lean | Lemma 7.1 | N0080 |
monic_coeff_sub_mem_iff | theorem | Unramified/PolynomialTypes.lean | N1005 | |
monic_congruent_difference_factor | theorem | Unramified/FactorCells.lean | N0952 | |
monic_inseparable_null | theorem | Measure/MemberCharts.lean | Remark 1.3, Remark 6.3, Discriminant locus is null | N0470 |
monic_poly_reconstruct | theorem | Unramified/FactorCells.lean | N0953 | |
monic_polynomial_degree | theorem | Formula/LawAlgebra.lean | N0359 | |
monic_polynomial_divisor | theorem | Assembly/TypeEvents.lean | N0115 | |
monic_residue_polynomial_count | theorem | Measure/HenselProducts.lean | ||
monic_squarefree_factors_of_reduced | theorem | Unramified/FactorCells.lean | N0955 | |
monic_type_event_measurable_of_root_cell_law | theorem | Recursion/RootCellLaw.lean | N0774 | |
monicDensity | def | Basic.lean | Monic model | D008 |
monicDensity_eq_etale | theorem | Etale/Main.lean | Remark 1.3 | N1032 |
monicDensityF | def | Basic.lean | D008 | |
monicDensityF_eq_densityValue | theorem | Assembly/Formulas.lean | (7.3) | N0077 |
monicExpr | def | Basic.lean | Theorem 1.1, (1.5) | D008 |
monicPolynomial | def | Basic.lean | Monic model | D008 |
monicPolyO | def | Unramified/Extension.lean | ||
monicPolyO_map_fraction | theorem | Unramified/Extension.lean | N0931 | |
monomial_span_pow | theorem | Blowup/PointTransport.lean | N0255 | |
monomialIdeal | def | Surfaces/Lengths.lean | ||
monomialIdeal_mem_iff | theorem | Surfaces/PowerSeries.lean | ||
mul_derivative_logSer | theorem | Reciprocity/Defs.lean | N0522 | |
mul_injective_quotient_transport | theorem | Blowup/CurveSections.lean | N0169 | |
mvPolynomial_zero_null | theorem | Measure/AdicCylinders.lean | Discriminant locus is null | N0392 |
mvPowerSeries_fin_two_mem_variableIdeal_iff | theorem | Surfaces/PowerSeries.lean | ||
mvPowerSeries_fin_two_quotient_var_regular_mod_var | theorem | Surfaces/PowerSeries.lean | N0875 | |
mvPowerSeries_fin_two_span_C_var_isPrime | theorem | Surfaces/Lengths.lean | N0848 | |
mvPowerSeries_mem_span_C_var_iff | theorem | Surfaces/Lengths.lean | N0847 | |
mvPowerSeries_quotient_var_regular | theorem | Surfaces/PowerSeries.lean | N0874 | |
negative_laurent_twist_has_no_kernel | theorem | Blowup/PointTransport.lean | N0257 | |
never_return_null | theorem | Recursion/Events.lean | Proof of Theorem 6.2 | N0730 |
nilpotentEval | def | Surfaces/Lengths.lean | ||
nilpotentEval_apply_generators | theorem | Surfaces/PowerSeries.lean | N0876 | |
nilpotentFamily | def | Surfaces/Lengths.lean | ||
nilpotentFamily_hasSubst | theorem | Surfaces/Lengths.lean | ||
nonboundary_direction_count | theorem | Formula/PatternCounts.lean | (6.3) | |
nonrational_point_residue_surjective | theorem | Surfaces/Regularity.lean | N0899 | |
nonself_child_rank_lt | theorem | Formula/StateCombinatorics.lean | Contact-size order, (6.6) | N0367 |
nonterminating_subset_return_or_bad | theorem | Recursion/Termination.lean | Proof of Theorem 6.2 | N0800 |
nonzerodivisor_survives_localization | theorem | Blowup/PointTransport.lean | N0258 | |
normalization_linear_part_cokernel_length_eq | theorem | Blowup/PointTransport.lean | N0259 | |
normalizationCorrection | def | Blowup/Charts.lean | ||
normalizationLinearPart | def | Blowup/Charts.lean | ||
normalizationQuadratic | def | Blowup/Charts.lean | ||
normalizeAt | def | Unramified/Extension.lean | ||
normalized_form_cell_cylinder_mass | theorem | Unramified/FactorCells.lean | N0956 | |
normalizedFormCell | def | Unramified/Extension.lean | ||
normalizedGenerator | def | Measure/AdicCylinders.lean | ||
normalizedIdeal | def | Measure/AdicCylinders.lean | ||
normalizer_generator_equation | theorem | Measure/Normalizer.lean | N0475 | |
normalizer_preserves_adic_congruence private | theorem | Measure/Normalizer.lean | Lemma 3.1 | |
normalizing_factor_is_unit | theorem | Measure/HenselProducts.lean | N0444 | |
one_sub_rational_returnWeight_ne_zero | theorem | Reciprocity/Patterns.lean | N0570 | |
order_defect_child_le | theorem | Recursion/OrderDefect.lean | N0761 | |
order_defect_children_sum | theorem | Recursion/OrderDefect.lean | N0760 | |
order_defect_le_of_tower | theorem | Recursion/Termination.lean | N0801 | |
order_defect_pi | theorem | Recursion/Termination.lean | N0802 | |
orderDefect | def | Algebra/AlgebraType.lean | ||
orderImage | def | Algebra/AlgebraType.lean | ||
orig_monicDensity_eq | theorem | Assembly/NullBridges.lean | Remark 6.3 | N0097 |
orig_projectiveDensity_eq | theorem | Assembly/NullBridges.lean | Remark 6.3 | N0098 |
other_children_count | theorem | Formula/LawAlgebra.lean | N0329 | |
otherChildren | def | Basic.lean | (4.7)–(4.8) | D008 |
overlap_exceptional_point_comap_maximal | theorem | Blowup/PointTransport.lean | N0264 | |
overlap_exceptional_point_comap_maximal_right | theorem | Blowup/PointTransport.lean | N0265 | |
overlap_exceptional_quotient_domain | theorem | Blowup/PointTransport.lean | N0266 | |
overlap_layer_laurent_coordinates | theorem | Blowup/NilpotentGluing.lean | (4.1) | N0229 |
overlap_level_generator_regular | theorem | Blowup/NilpotentGluing.lean | N0243 | |
overlap_point_residue_field_equiv | theorem | Blowup/PointTransport.lean | N0267 | |
overlapCurveIdeal | def | Blowup/Charts.lean | ||
overlapException | def | Blowup/Charts.lean | ||
overlapSlope | def | Blowup/Charts.lean | ||
padicIntegers | abbrev | Basic.lean | D008 | |
padicIntegers_isDVR | theorem | Measure/PrimitiveLocus.lean | ||
padicIntegers_maximal_adic_complete | theorem | Measure/PrimitiveLocus.lean | N0492 | |
padicIntegers_residueField_finite | theorem | Measure/PrimitiveLocus.lean | N0493 | |
PadicUnramified | def | Basic.lean | D008 | |
pairwise_distinct_irreducible_pow_iInf | theorem | Blowup/PointTransport.lean | N0270 | |
pairwiseDisjoint_pi_events | theorem | Assembly/TypeEvents.lean | N0110 | |
parent_ideal_unique_of_level_lattice | theorem | Blowup/CurveSections.lean | N0162 | |
Pattern | abbrev | Basic.lean | D008 | |
pattern_divisor_count | theorem | Formula/PatternCounts.lean | (6.3) | N0361 |
pattern_entry_eq_zero_of_lt | theorem | Reciprocity/Defs.lean | N0531 | |
pattern_entry_le_patternWeight | theorem | Reciprocity/Defs.lean | N0530 | |
patternDivisors | abbrev | Blowup/Directions.lean | ||
patternDivisors_equiv_colorings | theorem | Formula/PatternCounts.lean | (6.3) | N0360 |
patternSum | def | Reciprocity/Defs.lean | lem-7.2 | D022 |
patternSum_eq_of_le | theorem | Reciprocity/Patterns.lean | N0554 | |
patternWeight | def | Basic.lean | D008 | |
pExp | def | Reciprocity/Defs.lean | (7.6) | D022 |
pi_algebraMap_mem_jacobson_bot | theorem | Measure/HenselProducts.lean | N0445 | |
pi_field_maximal_ideals | theorem | Algebra/AlgebraType.lean | N0067 | |
pi_field_quotient_equiv | theorem | Recursion/OrderDefect.lean | N0765 | |
pi_fields_algEquiv_index_bijection | theorem | Unramified/FactorCells.lean | N0958 | |
pi_ideal_mem_iff_map_eval | theorem | Measure/HenselProducts.lean | N0446 | |
pi_mul_cokernel_length | theorem | Measure/Normalizer.lean | N0483 | |
pi_quotient_span_linearEquiv | theorem | Measure/HenselProducts.lean | N0447 | |
pi_strict_transform_map_eval | theorem | Measure/Atlas.lean | N0421 | |
plethSum | def | Reciprocity/Defs.lean | N0582 | |
plethSum_add | theorem | Reciprocity/Quantum.lean | N0661 | |
plethSum_moebiusSum | theorem | Reciprocity/Quantum.lean | N0660 | |
pLog | def | Reciprocity/Defs.lean | (7.6) | D022 |
point_cell_type_event | theorem | Assembly/MonicCells.lean | N0085 | |
pointChart | def | Assembly/NullBridges.lean | ||
pointChildState | def | Recursion/Members.lean | ||
pointCount | def | Basic.lean | (6.2) | D008 |
pointCount_eval | theorem | Surfaces/PowerSeries.lean | ||
polynomial_congruence_and_product | theorem | Unramified/FactorCells.lean | N0959 | |
polynomial_ideal_of_irreducible_pow_le | theorem | Blowup/PointTransport.lean | N0271 | |
polynomial_quotient_irreducible_pow_length | theorem | Blowup/PointTransport.lean | N0272 | |
polynomial_quotient_product_equiv | theorem | Unramified/FactorCells.lean | N0960 | |
polynomial_root_unique_of_derivative_isUnit | theorem | Surfaces/PowerSeries.lean | N0879 | |
polynomial_type_algEquiv_iff | theorem | Unramified/PolynomialTypes.lean | N0996 | |
polynomial_type_degree | theorem | Measure/PrimitiveLocus.lean | N0491 | |
polynomial_type_dvd | theorem | Algebra/AlgebraType.lean | N0061 | |
polynomial_type_iff_algebra_type | theorem | Algebra/FactorInvariant.lean | N0076 | |
polynomial_type_map_unramified | theorem | Unramified/DescentTypes.lean | N0929 | |
polynomial_type_mul_coprime | theorem | Unramified/PolynomialTypes.lean | N0997 | |
polynomial_type_unique | theorem | Unramified/PolynomialTypes.lean | N0998 | |
power_coordinates_transport | theorem | Measure/HenselProducts.lean | N0448 | |
powerCoordinates | def | Measure/AdicCylinders.lean | ||
powerSeries_quotient_length_eq_order | theorem | Surfaces/PowerSeries.lean | N0880 | |
pPow | def | Reciprocity/Defs.lean | Pow_v and the first-difference rule | D022 |
pPow_mul_pPow | theorem | Reciprocity/Plethysm.lean | N0592 | |
pPow_pPow | theorem | Reciprocity/Plethysm.lean | Pow_v and the first-difference rule | N0591 |
preimage_inter_pi_eq_biUnion | theorem | Assembly/TypeEvents.lean | N0109 | |
prime_power_ge_two | theorem | Formula/LawAlgebra.lean | N0324 | |
PrimePower | def | Basic.lean | D008 | |
primitive | def | Basic.lean | Projective model | D008 |
primitive_iff_residue_ne_zero | theorem | Unramified/PolynomialTypes.lean | N0999 | |
primitive_locus_mass | theorem | Measure/PrimitiveLocus.lean | N0484 | |
principal_generator_orbit_count | theorem | Measure/HenselProducts.lean | N0449 | |
principal_ideal_image | theorem | Blowup/PointTransport.lean | N0273 | |
principal_ideal_unit_invariance | theorem | Blowup/PointTransport.lean | N0277 | |
principal_layer_quotient_equiv | theorem | Blowup/ExceptionalLayers.lean | N0200 | |
principal_power_unit_lift | theorem | Blowup/NilpotentGluing.lean | N0237 | |
principal_residue_ideal_count | theorem | Surfaces/TruncatedSeries.lean | N0923 | |
PrincipalLayer | abbrev | Blowup/Charts.lean | ||
principalLayerMap | def | Blowup/Charts.lean | ||
principalLayerMap_apply_eq_mk | theorem | Blowup/NilpotentGluing.lean | N0230 | |
PrincipalPowerQuotient | abbrev | Blowup/Charts.lean | ||
principalPowerReduction | def | Blowup/Charts.lean | ||
prod_formalPow_adamsSer_clusterSer_scongr | theorem | Reciprocity/Plethysm.lean | lem-7.2 | N0589 |
product_chart_projection | theorem | Measure/Atlas.lean | N0422 | |
product_coordinates_exist | theorem | Measure/HenselProducts.lean | N0450 | |
product_division_equiv | theorem | Measure/HenselProducts.lean | N0451 | |
product_law_of_factor_laws | theorem | Assembly/MonicCells.lean | N0081 | |
projective_cell_affine_type_event | theorem | Assembly/MonicCells.lean | N0090 | |
projective_cell_conditional_density | theorem | Unramified/FrobeniusDescent.lean | Lemma 7.1 | N0963 |
projective_cell_mass | theorem | Unramified/FrobeniusDescent.lean | N0962 | |
projective_cell_normalization_pushforward | theorem | Unramified/HomogeneousCells.lean | N0989 | |
projective_cells_partition | theorem | Assembly/MonicCells.lean | Lemma 7.1 | N0084 |
projective_normalizer_eval | theorem | Unramified/PolynomialTypes.lean | N1007 | |
projective_normalizer_positive | theorem | Formula/LawAlgebra.lean | N0323 | |
projectiveCell | def | Unramified/Extension.lean | ||
projectiveDensity | def | Basic.lean | Projective model | D008 |
projectiveDensity_eq_etale | theorem | Etale/Main.lean | Remark 1.3 | N1033 |
projectiveDensityF | def | Basic.lean | D008 | |
projectiveDensityF_eq_densityValue | theorem | Assembly/Formulas.lean | (7.3) | N0078 |
projectiveExpr | def | Basic.lean | Theorem 1.1, (1.5) | D008 |
projectiveNormalize | def | Unramified/Extension.lean | ||
projectiveNormalizer | def | Basic.lean | Lemma 7.1 | D008 |
projectiveNormalizer_rational_ne_zero | theorem | Reciprocity/Quantum.lean | N0666 | |
pulledVariation | def | Blowup/Charts.lean | ||
qact | def | Reciprocity/Defs.lean | (8.9) | D022 |
qact_gaussPhi_dilate_recipSer_scongr private | theorem | Reciprocity/Main.lean | (9.4) | |
qact_qmul | theorem | Reciprocity/Defs.lean | N0536 | |
qact_qone | theorem | Reciprocity/Defs.lean | N0537 | |
qact_sub | theorem | Reciprocity/Defs.lean | N0538 | |
qactRecip | def | Reciprocity/Defs.lean | Lemma 9.1 | D022 |
QCongr | def | Reciprocity/Defs.lean | D022 | |
QCongr.mono | theorem | Reciprocity/Defs.lean | N0539 | |
QCongr.qact_scongr | theorem | Reciprocity/Defs.lean | N0533 | |
QCongr.qmul | theorem | Reciprocity/Defs.lean | N0541 | |
QCongr.trans | theorem | Reciprocity/Defs.lean | N0540 | |
qcongr_crossingQ_mul_qdagger | theorem | Reciprocity/Patterns.lean | Lemma 8.3, Theorem 9.3 | N0577 |
qcongr_qdiag_mul_qdagger | theorem | Reciprocity/Quantum.lean | Lemma 8.3 | N0689 |
qcongr_qminus_qone | theorem | Reciprocity/Defs.lean | N0548 | |
qcongr_qplus_qone | theorem | Reciprocity/Defs.lean | N0547 | |
qdagger | def | Reciprocity/Defs.lean | (8.2) | N0650 |
qdagger_qminus | theorem | Reciprocity/Quantum.lean | Lemma 8.1 | N0670 |
qdagger_qmul | theorem | Reciprocity/Quantum.lean | Lemma 8.1 | N0668 |
qdagger_qplus | theorem | Reciprocity/Quantum.lean | Lemma 8.1 | N0669 |
qdiag | def | Reciprocity/Defs.lean | N0542 | |
qdiag_mul | theorem | Reciprocity/Quantum.lean | Lemma 8.1 | N0688 |
qminus | def | Reciprocity/Defs.lean | Lemma 8.1 | N0652 |
qminus_qmul | theorem | Reciprocity/Defs.lean | Lemma 8.1 | N0544 |
qmul | def | Reciprocity/Defs.lean | (8.1) | N0541 |
qmul_assoc | theorem | Reciprocity/Quantum.lean | Lemma 8.1 | N0671 |
qmul_qplus_qdiag_qminus_apply | theorem | Reciprocity/Defs.lean | N0546 | |
qmul_zero_zero | theorem | Reciprocity/Quantum.lean | N0654 | |
qone | def | Reciprocity/Defs.lean | (8.1) | D022 |
qone_qmul | theorem | Reciprocity/Defs.lean | N0545 | |
qplus | def | Reciprocity/Defs.lean | Lemma 8.1 | N0651 |
qplus_qmul | theorem | Reciprocity/Defs.lean | Lemma 8.1 | N0543 |
QPositive | def | Reciprocity/Defs.lean | D022 | |
QPositive.qdagger | theorem | Reciprocity/Quantum.lean | N0650 | |
QPositive.qminus | theorem | Reciprocity/Quantum.lean | N0652 | |
QPositive.qmul | theorem | Reciprocity/Quantum.lean | N0541 | |
QPositive.qplus | theorem | Reciprocity/Quantum.lean | N0651 | |
qPositive_qdiag | theorem | Reciprocity/Quantum.lean | N0653 | |
qpow | def | Reciprocity/Defs.lean | D022 | |
qpow_add | theorem | Reciprocity/Defs.lean | N0502 | |
qpow_natCast | theorem | Reciprocity/Quantum.lean | N0646 | |
qpow_neg_mul_qpow | theorem | Reciprocity/Quantum.lean | N0648 | |
qpow_one | theorem | Reciprocity/Quantum.lean | N0647 | |
qpow_zero | theorem | Reciprocity/Defs.lean | N0503 | |
qrecip | def | Reciprocity/Defs.lean | D022 | |
QSer | abbrev | Reciprocity/Defs.lean | (8.1) | D022 |
quotient_mul_range_equiv | theorem | Measure/HenselProducts.lean | N0452 | |
quotient_ring_length_intrinsic | theorem | Measure/PrimitiveLocus.lean | N0494 | |
RaisesAdicOrder | def | Measure/AdicCylinders.lean | ||
ramificationIdx_unramified_tower | theorem | Unramified/FrobeniusDescent.lean | N0966 | |
rank_lt_of_degree_lt | theorem | Formula/LawAlgebra.lean | N0330 | |
rat_smul_eq_scalar_mul | theorem | Reciprocity/Quantum.lean | N0645 | |
rational_divisorCount | theorem | Reciprocity/Plethysm.lean | N0625 | |
rational_divisorProbability_single | theorem | Reciprocity/Patterns.lean | Proposition 6.1 | N0568 |
rational_eminusOne | theorem | Reciprocity/Plethysm.lean | N0624 | |
rational_returnWeight | theorem | Reciprocity/Patterns.lean | N0569 | |
recip_cluster | theorem | Cluster/Main.lean | N1023 | |
recip_main | theorem | Reciprocity/Main.lean | Theorem 1.2, Remark 1.3, Corollary 10.3 | N0553 |
recipCoef | def | Reciprocity/Defs.lean | D022 | |
recipCoef_adamsCoef | theorem | Reciprocity/Quantum.lean | N0637 | |
recipCoef_coeff | theorem | Reciprocity/Quantum.lean | N0635 | |
recipCoef_lawCoef_globalLaw_true | theorem | Reciprocity/Main.lean | Theorem 1.2, Lemma 9.2 | N0552 |
recipCoef_recipCoef | theorem | Reciprocity/Quantum.lean | N0636 | |
recipCoef_scalar | theorem | Reciprocity/Quantum.lean | N0634 | |
recipCoef_single | theorem | Reciprocity/Quantum.lean | N0632 | |
recipPoly | def | Reciprocity/Defs.lean | D022 | |
recipRat | def | Reciprocity/Defs.lean | D022 | |
recipRat_algebraMap | theorem | Reciprocity/Defs.lean | N0504 | |
recipRat_C | theorem | Reciprocity/Defs.lean | N0505 | |
recipRat_projectiveNormalizer | theorem | Reciprocity/Quantum.lean | Lemma 9.2 | N0665 |
recipRat_recipRat | theorem | Reciprocity/Quantum.lean | N0630 | |
recipRat_X | theorem | Reciprocity/Defs.lean | N0507 | |
recipSer | def | Reciprocity/Defs.lean | D022 | |
recipSer_dilate | theorem | Reciprocity/Quantum.lean | N0680 | |
recipSer_gaussPhi | theorem | Reciprocity/Quantum.lean | N0684 | |
recipSer_mul | theorem | Reciprocity/Quantum.lean | N0673 | |
recipSer_pPow | theorem | Reciprocity/Quantum.lean | (7.6) | N0690 |
recipSer_qact | theorem | Reciprocity/Quantum.lean | N0667 | |
recipSer_recipSer | theorem | Reciprocity/Quantum.lean | N0674 | |
recursion_crossing_law | theorem | Recursion/Events.lean | Proof of Theorem 6.2 | N0728 |
recursion_events_measurable | theorem | Recursion/Events.lean | N0725 | |
recursion_single_law | theorem | Recursion/Events.lean | Proof of Theorem 6.2 | N0731 |
recursion_terminal_law | theorem | Recursion/ChildMembers.lean | N0716 | |
reduced_form_eq_of_residue_coeff | theorem | Blowup/NilpotentGluing.lean | N0238 | |
reducedFormCell | def | Unramified/Extension.lean | ||
reducedFormProduct | def | Unramified/Extension.lean | ||
regular_principal_generators_associated | theorem | Measure/HenselProducts.lean | N0453 | |
RegularAt | def | Basic.lean | D008 | |
RegularParameterPair | def | Blowup/Charts.lean | ||
repeated_root_chart_type | theorem | Recursion/OrderDefect.lean | N0769 | |
repeated_root_one_chart_atlas | theorem | Recursion/OrderDefect.lean | (7.1) | N0770 |
residue_basis_family_basis | theorem | Surfaces/PowerSeries.lean | N0883 | |
residue_basis_family_lift_along_reduction | theorem | Surfaces/PowerSeries.lean | N0881 | |
residue_basis_family_of_length | theorem | Surfaces/PowerSeries.lean | N0882 | |
residue_cell_cylinder | theorem | Unramified/PolynomialTypes.lean | N1008 | |
residue_cell_mass | theorem | Unramified/PolynomialTypes.lean | Lemma 7.1 | N1009 |
residue_extension_equiv | theorem | Unramified/PolynomialTypes.lean | N1011 | |
residue_extension_field | theorem | Unramified/PolynomialTypes.lean | N1012 | |
residue_ideal_has_fixed_generator_lift | theorem | Measure/PrimitiveLocus.lean | N0488 | |
residue_quotient_card | theorem | Measure/HenselProducts.lean | N0454 | |
residue_vector_fiber_mass | theorem | Unramified/PolynomialTypes.lean | N1015 | |
ResidueBasisFamily | def | Surfaces/Lengths.lean | ||
residueCard | abbrev | Unramified/Extension.lean | ||
residueCell | def | Unramified/Extension.lean | ||
residueEmbed | def | Unramified/Extension.lean | ||
residueExtension | abbrev | Unramified/Extension.lean | ||
residueIdealCell | def | Measure/AdicCylinders.lean | ||
residueKillT | def | Surfaces/Lengths.lean | ||
residueKillT_apply_ker | theorem | Surfaces/PowerSeries.lean | N0878 | |
residueKillT_xChartSubst | theorem | Surfaces/ConcretePoints.lean | N0837 | |
residueKillX | def | Surfaces/Lengths.lean | ||
residuePatterns | def | Basic.lean | (7.3) | D008 |
residuePoly | abbrev | Unramified/Extension.lean | ||
residueRepresentative | def | Blowup/Charts.lean | ||
residueSeries | def | Surfaces/Lengths.lean | ||
residueVector | def | Unramified/Extension.lean | ||
resultant_ne_zero_of_separable | theorem | Measure/MemberCharts.lean | N0466 | |
return_event_mass | theorem | Recursion/Events.lean | Proof of Theorem 6.2 | N0729 |
return_weight_bounds | theorem | Formula/StateCombinatorics.lean | N0372 | |
returnWeight | def | Basic.lean | (6.6) | D008 |
reverse_normalized_irreducible | theorem | Algebra/FactorInvariant.lean | N0072 | |
reverse_polynomial_type_iff | theorem | Algebra/FactorInvariant.lean | N0073 | |
rightCurveIdeal | def | Blowup/Charts.lean | ||
rightData | def | Blowup/Charts.lean | ||
rightKernel | def | Blowup/Charts.lean | ||
rightLevelIdeal | def | Blowup/Charts.lean | ||
rightLevelKernel | def | Blowup/Charts.lean | ||
rightMultiplicity | def | Blowup/Charts.lean | ||
rightPoint | def | Blowup/Charts.lean | ||
rightPoint_isPrime | instance | Blowup/Charts.lean | ||
rightResidueDegree | def | Blowup/Charts.lean | ||
ringCechDifferential | def | Blowup/Charts.lean | ||
root_cell_clauses_reindex | theorem | Recursion/OrderDefect.lean | N0766 | |
root_cell_law | theorem | Recursion/RootCellLaw.lean | (1.3), Cluster model and cluster law B_n, (7.1) | N0780 |
root_cell_law_at_universe_member | theorem | Recursion/RootCellLaw.lean | N0775 | |
root_field_algEquiv_conjugate_orbit | theorem | Unramified/FactorCells.lean | N0961 | |
rootBar | abbrev | Unramified/Extension.lean | ||
RootCellLaw | def | Assembly/NullBridges.lean | Cluster model and cluster law B_n, (7.1) | |
rootEvent | def | Assembly/NullBridges.lean | ||
rootLaw | def | Basic.lean | (1.5), Cluster model and cluster law B_n | D008 |
rootMultiplicity_map_eq_count_normalizedFactors | theorem | Blowup/ExceptionalLayers.lean | N0202 | |
scalar | def | Reciprocity/Defs.lean | D022 | |
scalar_add | theorem | Reciprocity/Quantum.lean | N0641 | |
scalar_class_card | theorem | Unramified/PolynomialTypes.lean | N1016 | |
scalar_eq_algebraMap | theorem | Reciprocity/Quantum.lean | N0643 | |
scalar_mul | theorem | Reciprocity/Quantum.lean | N0640 | |
scalar_mul_eq_smul | theorem | Reciprocity/Quantum.lean | N0644 | |
scalar_mul_left_cancel | theorem | Reciprocity/Quantum.lean | N0691 | |
scalar_one | theorem | Reciprocity/Quantum.lean | N0642 | |
scalarClass | def | Unramified/Extension.lean | ||
scale_type_valid_degree_iff | theorem | Formula/StateCombinatorics.lean | N0378 | |
scaled_inverse_from_image_containment | theorem | Blowup/StrictNormalizer.lean | N0282 | |
scaled_linear_image_index | theorem | Blowup/StrictNormalizer.lean | N0283 | |
scaled_normalization_identity | theorem | Measure/PrimitiveLocus.lean | Lemma 3.1 | N0485 |
scaled_strict_map_measurable | theorem | Recursion/OrderDefect.lean | N0767 | |
scaledStrictMap | def | Blowup/Charts.lean | ||
scaleType | def | Basic.lean | (6.4) | D008 |
scaleTypeHom | def | Reciprocity/Defs.lean | D022 | |
scaling_image_borel_mass | theorem | Formula/TypeTransport.lean | N0386 | |
SCongr | def | Reciprocity/Defs.lean | D022 | |
SCongr.C_mul | theorem | Reciprocity/Quantum.lean | N0698 | |
SCongr.dilate | theorem | Reciprocity/Quantum.lean | N0681 | |
SCongr.expSer | theorem | Reciprocity/Quantum.lean | N0702 | |
SCongr.logSer | theorem | Reciprocity/Quantum.lean | N0703 | |
SCongr.moebiusSum | theorem | Reciprocity/Plethysm.lean | N0583 | |
SCongr.mono | theorem | Reciprocity/Quantum.lean | N0539 | |
SCongr.mul | theorem | Reciprocity/Quantum.lean | N0697 | |
SCongr.of_eq | theorem | Reciprocity/Quantum.lean | N0693 | |
SCongr.of_mul_right | theorem | Reciprocity/Quantum.lean | N0700 | |
SCongr.plethSum | theorem | Reciprocity/Plethysm.lean | N0582 | |
SCongr.pow | theorem | Reciprocity/Quantum.lean | N0699 | |
SCongr.qdiag | theorem | Reciprocity/Defs.lean | N0542 | |
SCongr.refl | theorem | Reciprocity/Quantum.lean | ||
SCongr.symm | theorem | Reciprocity/Quantum.lean | N0694 | |
SCongr.trans | theorem | Reciprocity/Quantum.lean | N0540 | |
sectionsToProduct | def | Blowup/Charts.lean | ||
selectBlock | def | Unramified/Extension.lean | ||
self_patterns_of_single_state | theorem | Formula/StateCombinatorics.lean | (6.6) | N0366 |
SelfPattern | def | Basic.lean | D008 | |
selfPattern_single_iff | theorem | Reciprocity/Plethysm.lean | N0595 | |
separable_of_resultant | theorem | Measure/MemberCharts.lean | N0465 | |
Ser | abbrev | Reciprocity/Defs.lean | (7.5) | D022 |
series_quotient_equiv_adjoinRoot | theorem | Recursion/OrderDefect.lean | (7.1) | N0768 |
shiftUnit | def | Surfaces/Lengths.lean | ||
simple_root_derivative_unit | theorem | Unramified/FrobeniusDescent.lean | N0971 | |
single_residue_ideal_count | theorem | Measure/StateVolumes.lean | Proposition 3.3 | N0495 |
single_special_fiber_length | theorem | Unramified/LocalDescent.lean | Lemma 2.1 | N0992 |
single_state_return_chain | theorem | Recursion/ChildMembers.lean | N0718 | |
single_state_volume | theorem | Measure/StateVolumes.lean | Proposition 3.3 | N0496 |
singleResidueIdeals | def | Surfaces/Lengths.lean | Allowed residue ideals, cells, occupied points | |
span_pow_mul_colon_eq | theorem | Surfaces/ConcreteAtlas.lean | N0830 | |
special_fiber_crossing_contact_regular | theorem | Blowup/StrictNormalizer.lean | Lemma 2.1 | N0287 |
special_fiber_single_contact_regular | theorem | Blowup/StrictNormalizer.lean | Lemma 2.1 | N0288 |
SpecialFiber | abbrev | Surfaces/Lengths.lean | ||
squarefree_map_of_isSeparable | theorem | Algebra/AlgebraType.lean | N0055 | |
squarefree_monic_has_polynomial_type | theorem | Algebra/AlgebraType.lean | N0060 | |
squarefree_of_isReduced_adjoinRoot | theorem | Algebra/AlgebraType.lean | N0054 | |
State | inductive | Basic.lean | (2.1) | D008 |
State.degree | def | Basic.lean | (2.1) | D008 |
State.firstContact | def | Formula/LawAlgebra.lean | ||
State.rank | def | Basic.lean | Contact-size order | D008 |
State.tag | def | Basic.lean | D008 | |
State.terminal | def | Basic.lean | D008 | |
State.Valid | def | Basic.lean | (2.1) | D008 |
State.weight | def | Basic.lean | D008 | |
state_fuel_stable | theorem | Formula/StateCombinatorics.lean | N0368 | |
state_law_coeff_nonneg | theorem | Formula/PatternCounts.lean | N0363 | |
state_law_unfold | theorem | Formula/StateCombinatorics.lean | (6.7), Theorem 6.2 | N0369 |
state_measure_atlas_independent | theorem | Measure/Atlas.lean | Proposition 3.2 | N0428 |
state_measure_total_mass | theorem | Measure/PrimitiveLocus.lean | N0486 | |
stateContactT | def | Blowup/Charts.lean | ||
stateContactX | def | Blowup/Charts.lean | ||
stateLaw | def | Basic.lean | Theorem 6.2 | D008 |
stateLawFuel | def | Basic.lean | (6.7) | D008 |
stateMeasure | def | Measure/AdicCylinders.lean | ||
StateShape | def | Recursion/Members.lean | ||
StateShape.valid | theorem | Recursion/Members.lean | ||
stateVolume | def | Basic.lean | Proposition 3.3 | D008 |
strict_chart_coordinates_commute | theorem | Blowup/StrictNormalizer.lean | N0293 | |
strict_chart_one_ball_measure | theorem | Assembly/NullBridges.lean | Theorem 5.1 | N0095 |
strict_chart_preimage_set_identity | theorem | Blowup/StrictNormalizer.lean | N0294 | |
strict_correction_raises_order | theorem | Blowup/StrictNormalizer.lean | N0290 | |
strict_normalizer_factors_through_linear | theorem | Blowup/StrictNormalizer.lean | N0291 | |
strict_normalizer_lattice_image | theorem | Blowup/StrictNormalizer.lean | N0292 | |
strict_normalizer_preimage_measure | theorem | Assembly/NullBridges.lean | N0092 | |
strict_normalizer_pushforward_linear | theorem | Measure/Haar.lean | N0432 | |
strict_quotient_cokernel_length | theorem | Blowup/StrictNormalizer.lean | Theorem 5.1 | N0295 |
strict_quotient_inclusion_exists | theorem | Blowup/StrictNormalizer.lean | N0296 | |
strict_quotient_map_exists | theorem | Blowup/StrictNormalizer.lean | N0297 | |
strict_quotient_map_injective | theorem | Blowup/StrictNormalizer.lean | N0298 | |
strict_transform_bijOn_child_ideals | theorem | Blowup/FixedTangentCellBijection.lean | Proposition 4.4 | N0206 |
strict_transform_common_point_transport | theorem | Blowup/StrictNormalizer.lean | N0299 | |
strict_transform_equation_from_levels | theorem | Blowup/StrictNormalizer.lean | N0301 | |
strict_transform_equation_of_kernels | theorem | Blowup/CurveSections.lean | N0175 | |
strict_transform_ideal_of_generator | theorem | Measure/Haar.lean | N0429 | |
strict_transform_injOn_fixed_tangent_cell | theorem | Blowup/FixedTangentCellBijection.lean | Proposition 4.4 | N0205 |
strict_transform_left_point_equation | theorem | Blowup/CurveSections.lean | N0178 | |
strict_transform_mapsTo_child_ideals | theorem | Blowup/StrictNormalizer.lean | (4.7)–(4.8) | N0280 |
strict_transform_translate_measure | theorem | Assembly/NullBridges.lean | N0096 | |
strict_transforms_give_level_lattice_membership | theorem | Blowup/StrictNormalizer.lean | N0302 | |
strictTransformAt | def | Blowup/Charts.lean | ||
strictTransformIdeal | def | Blowup/Charts.lean | ||
substUnit | def | Surfaces/Lengths.lean | ||
sum_allowedPatterns_crossing | theorem | Reciprocity/Defs.lean | N0528 | |
sum_allowedPatterns_reindex | theorem | Reciprocity/Defs.lean | N0527 | |
sum_allowedPatterns_single | theorem | Reciprocity/Plethysm.lean | N0594 | |
sum_C_mul_X_pow_pow | theorem | Reciprocity/Defs.lean | N0532 | |
sum_divisors_moebius | theorem | Reciprocity/Quantum.lean | N0658 | |
sum_divisors_sum_divisors_div | theorem | Reciprocity/Quantum.lean | N0656 | |
sum_patterns_scalar_mul_eq_patternSum | theorem | Reciprocity/Patterns.lean | N0562 | |
sum_prod_densityValue_eq_lawProd | theorem | Assembly/TypeEvents.lean | N0113 | |
sum_triple_reindex | theorem | Reciprocity/Plethysm.lean | N0597 | |
surface_state_generator_mem_maximal | theorem | Blowup/H0Comparison.lean | N0213 | |
surface_state_ideal_proper | theorem | Blowup/H0Comparison.lean | N0212 | |
surface_state_vertical_perturbation | theorem | Blowup/H0Comparison.lean | N0214 | |
surface_threads_injective | theorem | Blowup/H0Comparison.lean | Lemma 4.2 | N0218 |
surface_threads_range | theorem | Blowup/H0Comparison.lean | Lemma 4.1, Lemma 4.2, Appendix A | N0221 |
surface_to_cech_kernel | theorem | Blowup/H0Comparison.lean | N0215 | |
surface_to_cech_range | theorem | Blowup/H0Comparison.lean | N0219 | |
surface_to_curve_limit_exists | theorem | Blowup/H0Comparison.lean | N0223 | |
surface_to_curve_limit_kernel | theorem | Blowup/CurveSections.lean | N0163 | |
surface_to_curve_quotient_kernel | theorem | Blowup/CurveSections.lean | N0161 | |
surface_vertical_parameter | theorem | Blowup/H0Comparison.lean | N0224 | |
SurfaceData | structure | Surfaces/Lengths.lean | (2.1) | |
surfaceIdeal | def | Surfaces/Lengths.lean | ||
surfaceIdeal_ne_top | theorem | Surfaces/PowerSeries.lean | N0896 | |
surfaceMk | def | Surfaces/Lengths.lean | ||
surfaceParameterIdeal | def | Surfaces/Lengths.lean | ||
surfaceRelation | def | Surfaces/Lengths.lean | ||
surfaceRelation_constantCoeff | theorem | Surfaces/PowerSeries.lean | N0886 | |
surfaceStateSet | def | Surfaces/Lengths.lean | (2.1) | |
surfaceT | def | Surfaces/Lengths.lean | ||
surfaceThreads | def | Blowup/Charts.lean | ||
surfaceToCechInput | def | Blowup/Charts.lean | ||
surfaceToChartPair | def | Blowup/Charts.lean | ||
surfaceUnit | def | Surfaces/Lengths.lean | ||
SurfaceUniverse | structure | Recursion/Members.lean | ||
SurfaceUniverse.badExitEvent | def | Recursion/Members.lean | ||
SurfaceUniverse.childBox | def | Recursion/Members.lean | ||
SurfaceUniverse.ChildTypesExist | def | Recursion/Members.lean | ||
SurfaceUniverse.exitCells | def | Recursion/Members.lean | ||
SurfaceUniverse.exitEvent | def | Recursion/Members.lean | ||
SurfaceUniverse.InvariantDecreases | def | Recursion/Members.lean | ||
SurfaceUniverse.LawStatement | def | Recursion/Members.lean | Theorem 6.2 | |
SurfaceUniverse.nonterminatingSet | def | Recursion/Members.lean | ||
SurfaceUniverse.returnEvent | def | Recursion/Members.lean | ||
SurfaceUniverse.selfCells | def | Recursion/Members.lean | ||
SurfaceUniverse.termExitEvent | def | Recursion/Members.lean | ||
SurfaceUniverse.Terminates | inductive | Recursion/Members.lean | ||
SurfaceUniverse.terminatingSet | def | Recursion/Members.lean | ||
SurfaceUniverse.termTypeEvent | def | Recursion/Members.lean | ||
SurfaceUniverse.typeBox | def | Recursion/Members.lean | ||
SurfaceUniverse.typeEvent | def | Recursion/Members.lean | ||
surfaceX | def | Surfaces/Lengths.lean | ||
t_chart_nonrational_point_child_data | theorem | Recursion/OrderDefect.lean | N0772 | |
t_chart_nonrational_point_completion_equiv | theorem | Surfaces/ChartCompletions.lean | N0808 | |
t_chart_origin_completion_equiv | theorem | Surfaces/ChartCompletions.lean | N0810 | |
t_chart_point_child_member | theorem | Recursion/ChildMembers.lean | N0704 | |
t_chart_rational_point_child_data | theorem | Recursion/OrderDefect.lean | N0773 | |
t_chart_unit_point_completion_equiv | theorem | Surfaces/ChartCompletions.lean | N0811 | |
tangent_count_nonneg | theorem | Formula/PatternCounts.lean | N0362 | |
tangent_divisor_unique | theorem | Recursion/ChildMembers.lean | Proposition 6.1 | N0707 |
tangentCount | def | Basic.lean | (6.3) | D008 |
tangentLift | def | Blowup/Charts.lean | ||
TangentPattern | structure | Basic.lean | Allowed residue ideals, cells, occupied points | D008 |
tChartFamily | def | Surfaces/Lengths.lean | ||
tChartFamily_hasSubst | theorem | Surfaces/Lengths.lean | ||
term_type_event_cell_decomposition | theorem | Recursion/ChildMembers.lean | N0717 | |
terminal_curve_order_dvr | theorem | Recursion/ChildMembers.lean | Lemma 2.2 | N0710 |
terminal_field_invariant | theorem | Recursion/ChildMembers.lean | Lemma 2.2 | N0712 |
terminal_law | theorem | Formula/StateCombinatorics.lean | Lemma 2.2 | N0370 |
terminates_cell_decomposition | theorem | Recursion/ChildMembers.lean | N0714 | |
terminates_type_unique | theorem | Recursion/ChildMembers.lean | N0715 | |
Tests.clusterDensity_two_inert | theorem | Tests/Cluster.lean | (1.3) | N1020 |
Tests.clusterDensity_two_ramified | theorem | Tests/Cluster.lean | (1.3) | N1018 |
Tests.clusterDensity_two_split | theorem | Tests/Cluster.lean | (1.3) | N1019 |
Tests.crossing_left_one_law private | theorem | Tests/Regression.lean | Lemma 2.2 | |
Tests.crossing_right_one_law private | theorem | Tests/Regression.lean | Lemma 2.2 | |
Tests.crossing_two_two_law private | theorem | Tests/Regression.lean | Example 9.4 | |
Tests.crossing_two_two_law_at_two private | theorem | Tests/Regression.lean | Example 9.4 | |
Tests.instance@L104 | instance | Tests/NonVacuity.lean | ||
Tests.instance@L107 | instance | Tests/NonVacuity.lean | ||
Tests.instance@L44 | instance | Tests/NonVacuity.lean | ||
Tests.instance@L48 | instance | Tests/NonVacuity.lean | ||
Tests.instance@L52 | instance | Tests/NonVacuity.lean | ||
Tests.instance@L55 | instance | Tests/NonVacuity.lean | ||
Tests.instance@L59 | instance | Tests/NonVacuity.lean | ||
Tests.instance@L62 | instance | Tests/NonVacuity.lean | ||
Tests.isAdic_maximalIdeal_powerSeries | theorem | Tests/NonVacuity.lean | N0001 | |
Tests.main_dvr_galoisField | theorem | Tests/NonVacuity.lean | N0004 | |
Tests.main_dvr_powerSeries | theorem | Tests/NonVacuity.lean | Theorem 1.1 | N0002 |
Tests.main_dvr_zmod | theorem | Tests/NonVacuity.lean | N0003 | |
Tests.monicDensity_four_ramified_quadratic_of_card_eq_two | theorem | Tests/Regression.lean | N0046 | |
Tests.monicDensity_four_totally_ramified_of_card_eq_two | theorem | Tests/Regression.lean | Example 10.4 | N0044 |
Tests.monicDensity_four_two_inert_quadratics_of_card_eq_two | theorem | Tests/Regression.lean | N0047 | |
Tests.monicDensity_powerSeries_zmod_two_four_totally_ramified | theorem | Tests/Regression.lean | Example 10.4 | N0048 |
Tests.monicDensity_three_totally_ramified_of_card_eq_three | theorem | Tests/Regression.lean | (10.8) | N0043 |
Tests.monicDensity_two_ramified | theorem | Tests/Regression.lean | (1.3) | N0041 |
Tests.monicExpr_four_eval_two | theorem | Tests/Regression.lean | N0031 | |
Tests.monicExpr_four_ramified_quadratic_eval_two | theorem | Tests/Regression.lean | N0039 | |
Tests.monicExpr_four_totally_ramified_eval_two | theorem | Tests/Regression.lean | Example 10.4 | N0037 |
Tests.monicExpr_four_two_inert_quadratics_eval_two | theorem | Tests/Regression.lean | N0040 | |
Tests.monicExpr_three_eval | theorem | Tests/Regression.lean | N0025 | |
Tests.monicExpr_three_totally_ramified_eval_three | theorem | Tests/Regression.lean | (10.8) | N0036 |
Tests.monicExpr_two_eval | theorem | Tests/Regression.lean | (1.3), Example 7.3, (10.8), (11.8), (11.9)–(11.10) | N0020 |
Tests.monicExpr_two_inert_eval_two | theorem | Tests/Regression.lean | N0034 | |
Tests.monicExpr_two_ramified_eval_two | theorem | Tests/Regression.lean | Example 7.3 | N0035 |
Tests.monicExpr_two_split_eval_two | theorem | Tests/Regression.lean | N0033 | |
Tests.projectiveDensity_four_totally_ramified_of_card_eq_two | theorem | Tests/Regression.lean | N0045 | |
Tests.projectiveDensity_two_ramified | theorem | Tests/Regression.lean | Example 7.3 | N0042 |
Tests.projectiveExpr_four_eval_two | theorem | Tests/Regression.lean | N0032 | |
Tests.projectiveExpr_four_totally_ramified_eval_two | theorem | Tests/Regression.lean | Example 10.4 | N0038 |
Tests.projectiveExpr_two_eval | theorem | Tests/Regression.lean | Example 7.3, (11.8) | N0021 |
Tests.single_two_law | theorem | Tests/Regression.lean | Example 6.4, Example 7.3 | N0018 |
Tests.stateLawFuelStep | def | Tests/Regression.lean | ||
towerDelta | def | Surfaces/Lengths.lean | ||
towerThreads | def | Surfaces/Lengths.lean | ||
transition_unit_congruent_one | theorem | Blowup/H0Comparison.lean | N0227 | |
translateBlock | def | Unramified/Extension.lean | ||
transverse_of_reduction_ne_zero | theorem | Surfaces/Completeness.lean | N0815 | |
tri | def | Basic.lean | D008 | |
tri_chooseTwo | theorem | Formula/StateCombinatorics.lean | N0371 | |
truncCoeffs | def | Surfaces/TruncatedSeries.lean | ||
truncCoeffs_apply | theorem | Surfaces/TruncatedSeries.lean | N0920 | |
truncExponent | def | Surfaces/TruncatedSeries.lean | ||
truncIndex | def | Surfaces/TruncatedSeries.lean | ||
twisted_kernel_from_surface | theorem | Blowup/H0Comparison.lean | N0228 | |
two_chart_common_multiplicity_eq | theorem | Blowup/DivisorPoints.lean | N0182 | |
two_chart_datum_concrete_instances | theorem | Surfaces/ConcreteStrictTransforms.lean | N0842 | |
two_chart_datum_concrete_transverse | theorem | Surfaces/ConcreteStrictTransforms.lean | N0843 | |
two_chart_global_function_exists | theorem | Blowup/FixedTangentCellBijection.lean | Lemma 4.3 | N0203 |
two_chart_kernels_agree_on_overlap | theorem | Blowup/TwoChartCurveData.lean | N0304 | |
two_chart_layer_correction | theorem | Blowup/CurveSections.lean | N0165 | |
two_chart_left_data_transverse_finite | theorem | Blowup/CurveSections.lean | N0176 | |
two_chart_left_generators_regular_on_overlap | theorem | Blowup/TwoChartCurveData.lean | N0312 | |
two_chart_left_level_one_kernel_polynomial | theorem | Blowup/DivisorPoints.lean | N0187 | |
two_chart_left_points_maximal | theorem | Blowup/CurveSections.lean | N0177 | |
two_chart_level_generators_agree_on_overlap | theorem | Blowup/TwoChartCurveData.lean | N0305 | |
two_chart_level_generators_exist | theorem | Blowup/TwoChartCurveData.lean | N0313 | |
two_chart_right_data_transverse_finite | theorem | Blowup/CurveSections.lean | N0179 | |
two_chart_right_points_maximal | theorem | Blowup/TwoChartCurveData.lean | N0306 | |
two_mul_chooseTwo | theorem | Reciprocity/Defs.lean | N0500 | |
two_mul_tri | theorem | Reciprocity/Defs.lean | N0499 | |
two_term_coker_map_surjective | theorem | Blowup/TwoChartCurveData.lean | N0315 | |
TwoChartCurveData | structure | Blowup/Charts.lean | ||
TwoSeries | abbrev | Surfaces/Lengths.lean | ||
twoSeries_eval_exists_of_isAdicComplete | theorem | Surfaces/Completeness.lean | N0818 | |
twoSeries_ringHom_ext_of_isNilpotent | theorem | Surfaces/Completeness.lean | N0816 | |
twoSeriesResidueEquiv | def | Surfaces/TruncatedSeries.lean | ||
twoTermCokerMap | def | Surfaces/Lengths.lean | ||
type_event_null_difference | theorem | Recursion/Events.lean | N0733 | |
typeDegree | def | Basic.lean | Type of degree n | D008 |
typeEvent | def | Assembly/NullBridges.lean | ||
unique_scaled_generator_normalization | theorem | Measure/Normalizer.lean | Lemma 3.1 | N0477 |
units_lift_from_local_quotient | theorem | Measure/PrimitiveLocus.lean | N0487 | |
universal_law_statement | theorem | Recursion/Events.lean | Theorem 6.2 | N0732 |
universe_basic_facts | theorem | Recursion/ChildMembers.lean | N0719 | |
unramified_coefficient_measure_haar | theorem | Measure/PrimitiveLocus.lean | N0489 | |
unramified_coefficient_measure_pi | theorem | Measure/Haar.lean | Theorem 5.1 | N0431 |
unramified_extension_measure_package | theorem | Measure/Haar.lean | N0430 | |
unramified_fraction_base_change | theorem | Algebra/AlgebraType.lean | N0068 | |
unramified_fraction_field_lift | theorem | Unramified/FrobeniusDescent.lean | N0967 | |
unramified_fraction_isSeparable | theorem | Unramified/DescentTypes.lean | N0927 | |
unramified_free_module | theorem | Unramified/FrobeniusDescent.lean | N0968 | |
unramified_generic_fibre_ascent | theorem | Recursion/Events.lean | N0735 | |
unramified_generic_fibre_witness | theorem | Algebra/AlgebraType.lean | N0069 | |
unramified_is_dvr | theorem | Unramified/FrobeniusDescent.lean | Standard facts | N0977 |
unramified_lift_map_parameter_quotient_irreducible | theorem | Surfaces/Completeness.lean | N0819 | |
unramified_root_isUnit_of_two_le_natDegree | theorem | Surfaces/Completeness.lean | N0820 | |
unramifiedCoefficientMeasure | def | Measure/AdicCylinders.lean | ||
unramifiedFrobenius | def | Unramified/Extension.lean | ||
unramifiedMeasurableSpace | def | Measure/AdicCylinders.lean | ||
unramifiedTopology | def | Measure/AdicCylinders.lean | ||
ValidType | def | Basic.lean | Type of degree n | D008 |
variableIdeal | def | Surfaces/Lengths.lean | ||
wf_returnWeight | theorem | Reciprocity/Plethysm.lean | N0599 | |
x_chart_infinity_completion_equiv | theorem | Surfaces/ChartCompletions.lean | N0812 | |
X_inv_sub_X_zpow_neg_tri_ne_zero | theorem | Reciprocity/Patterns.lean | Proof of monic/cluster reciprocity | N0571 |
X_sub_one_mul_crossingWeight | theorem | Reciprocity/Defs.lean | N0529 | |
xChartFamily | def | Surfaces/Lengths.lean | ||
xChartFamily_hasSubst | theorem | Surfaces/Lengths.lean | ||
xChartSubst | def | Surfaces/Lengths.lean | ||
xSubstUnit | def | Surfaces/Lengths.lean | ||
zeroAffine | def | Blowup/Directions.lean | ||
zeroCell | def | Unramified/Extension.lean | ||
zeroDirection | def | Blowup/Directions.lean |