chars int64 40 24k | content_type stringclasses 9
values | id stringlengths 13 64 | source stringclasses 5
values | subset stringclasses 31
values | text stringlengths 40 24k |
|---|---|---|---|---|---|
5,535 | lean_file_chunk | f910933bd95d519d1124269c3933df5a1422b3ea575c7e6075ff186dd80c6f16 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.HomologicalEquation
import LeanPool.PoincareThreeBody.MixedPartials
/-!
# Mixed derivatives of the restricted three-body Hamiltoni... |
3,711 | lean_file_chunk | 9ba307c79e2c9b146e9e7e66d9b9571f521bf1184845f5b922581a7e90dc3e21 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.Perturbation
import Mathlib.Analysis.Calculus.Deriv.Mul
import Mathlib.Tactic.Ring
/-!
# The first homological equation
This file... |
12,040 | lean_file_chunk | edc003a3072da1f9a0c99861fb15fb7e066d17ac65765613f260c7dd43c44935 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import Mathlib.Topology.Instances.AddCircle.DenseSubgroup
import Mathlib.Topology.Instances.Irrational
import Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle
i... |
3,762 | lean_file_chunk | 9a25ddd30a8e82f9ab2ac218f789f5c93f2edc45919f0024a94f966b852b3917 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.AnalyticParameterIntegral
import Mathlib.Analysis.Analytic.ChangeOrigin
import Mathlib.Analysis.Analytic.Constructions
/-!
# Unifo... |
7,568 | lean_file_chunk | 24869bf726b5309b600569eb7560e5d9fff3d40caead2ae6947fd83f16d477ac | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.KeplerOrbit
import Mathlib.Analysis.Calculus.InverseFunctionTheorem.Analytic
import Mathlib.Analysis.Normed.Operator.Banach
import ... |
10,559 | lean_file_chunk | 7f9e63759cc4016abbfdbd148e9a803aafd112526f473de040fd9655b8110a10 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.JointBallFiberSeries
import Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic
/-!
# Integrating a joint analytic power series ... |
5,065 | lean_file_chunk | 6f2cb4656576ddef979007ca9da74872de0a4c6c173ad2f132fb0f97b8f2a01f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.KeplerPhaseOrbit
import Mathlib.Analysis.Calculus.Deriv.Prod
import Mathlib.Tactic.FinCases
/-!
# The resonant ellipse as a Hamilt... |
7,090 | lean_file_chunk | f0ca6706adb74e6cca8a78e42b9bf374275f071b6ea253eaef3834e9c8dad5f1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.KeplerFlow
import Mathlib.Analysis.Calculus.FDeriv.Mul
import Mathlib.Analysis.Calculus.FDeriv.Prod
import Mathlib.Tactic.FinCases
... |
16,997 | lean_file_chunk | 044e443ac96966805978d03b79991bbf1e78f843445cdeb9f9b9167707abfb0b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.GeneratingFunction
import Mathlib.Analysis.Calculus.Deriv.Inverse
import Mathlib.Analysis.Calculus.Deriv.MeanValue
import Mathlib.A... |
23,907 | lean_file_chunk | 266dee5b911e7062b2c9670081c585bc100aa2e1f61b98cc446219a3311873d4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.DisturbingFunction
import Mathlib.Tactic.FinCases
import Mathlib.Tactic.Ring
/-!
# Full phase-space Kepler orbits
The disturbing ... |
7,899 | lean_file_chunk | fbe3c0f535911653b621d76675352e4e9b9a4e5493144eab3e7dae6cca1e4a0a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.DenseResonantObstruction
import LeanPool.PoincareThreeBody.PoincareSet
/-!
# The classical obstruction for the leading coefficient... |
21,914 | lean_file_chunk | 926ff2cfd4da1e53c75c4541a6d685e0f56a142e335275788b5528299bbdb298 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.DelaunayAnchorChart
import LeanPool.PoincareThreeBody.EnergyLeafObstruction
/-!
# Local energy leaves at the rational anchor
The ... |
8,334 | lean_file_chunk | 097fa0d9c8aa81fee3f34cc1012f173299d9140ce0c041f782f822e2b4334c61 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import Mathlib.Analysis.Analytic.IteratedFDeriv
import Mathlib.Analysis.Calculus.Deriv.Comp
import Mathlib.Analysis.Calculus.FDeriv.Prod
import Mathlib.Analysis.Calc... |
9,418 | lean_file_chunk | 979e3eae1cdc707a6aa730c6842eda9d38f1317cfff559dc0feea2617585b5d4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.NormalizationInduction
/-!
# Closing the normalization induction from one step
This file reduces the all-orders classical normali... |
22,077 | lean_file_chunk | 9ede98dc41cf0f5afefbd6e90358e29ffcc569e0d17fa0d9fed8bb0d76300527 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.AnalyticMinors
/-!
# Iterated Poincaré normalization
This file packages the algebra common to every order of Poincaré's coefficie... |
2,889 | lean_file_chunk | 95cd0ff68dd7e0ec0e5bdb71c26ade74024652b8a8748d2dc4b39f432769b8c6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.DisturbingCertificate
/-!
# A concrete interior 1:2 resonance
This file specializes the finite-certificate interface to the 1:2 K... |
12,916 | lean_file_chunk | 0229bf5792509fffbac5924da29c6e75d668ec90d2bcf759620d39ae02516090 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.Averaging
import LeanPool.PoincareThreeBody.HamiltonianMixedPartials
import LeanPool.PoincareThreeBody.KeplerHamiltonian
/-!
# The... |
8,536 | lean_file_chunk | d9a07a83ed5bb83048520c302b4bb9b57fe46f12623957aa90535902e5ccee84 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.Core
import Mathlib.Analysis.Normed.Module.Connected
/-!
# Topology of the collision-free parameter domain
A shear `u = x + μ` ma... |
22,762 | lean_file_chunk | ba79d1c917e48b3029e29d7f1643aac93a987dff368c4e9de4b2f40c37a47f89 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.NormalizationClosure
import Mathlib.Analysis.Normed.Operator.Prod
import Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap... |
5,720 | lean_file_chunk | 392ad4746abea13b055417087d8b153e93deefb8c244e5f50727c38322782e1d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.Analytic
import Mathlib.Analysis.Calculus.Deriv.Inv
import Mathlib.Analysis.SpecialFunctions.Sqrt
import Mathlib.Tactic.FieldSimp
i... |
22,638 | lean_file_chunk | 918b3eaf1735e1e585ed82a14ba01a12016ab26f5ca0dfeddfb2ccf5babd8656 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.DenseResonantObstruction
import LeanPool.PoincareThreeBody.AnalyticDensity
import LeanPool.PoincareThreeBody.DisturbingAverageAnaly... |
20,647 | lean_file_chunk | e8135b92cc8146553e09aa3e7a77b9c6e1ce2264cde04a69710654c21d0322d2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.AnalyticNormalization
/-!
# Poisson algebra for coefficient normalization
Subtracting a differentiable function of the Hamiltonia... |
5,586 | lean_file_chunk | 9895f32c4ccdd3a12b36709866632150b6058adfe325543a62af4513f0d7f110 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.Delaunay
import LeanPool.PoincareThreeBody.Perturbation
import Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic
import Mathlib... |
5,285 | lean_file_chunk | 0faa9ce864510d0bb9471cb8263d9465dc75228e1c2f8fc6cfc4afcfb196b0a3 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import Mathlib.LinearAlgebra.Matrix.NonsingularInverse
import Mathlib.Analysis.Real.Sqrt
import Mathlib.Tactic.FinCases
import Mathlib.Tactic.FunProp
import Mathlib.... |
22,908 | lean_file_chunk | c05cee1454626e3b9c252f21f23a8079b29406c715eb321336bb23d0525b8891 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.ActionFactorization
import LeanPool.PoincareThreeBody.DisturbingFunction
import LeanPool.PoincareThreeBody.OrbitHomologicalEquation... |
4,691 | lean_file_chunk | 4cd7662a47c0a70b0ba4e4cfc3e343fcfb380ed5b42095ea15a879dbc192bf0f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.SafeAverageAnalytic
import LeanPool.PoincareThreeBody.PoincareSet
/-!
# Separation of resonant disturbing averages in the collisio... |
11,606 | lean_file_chunk | 8c26c4ad90ba7f3de6ccaad489353984b8559b61bc4803bdfb604d0bb3bb4afc | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.DisturbingParameterAnalytic
import Mathlib.Tactic.FieldSimp
import Mathlib.Tactic.FinCases
/-!
# The apoapsis collision boundary o... |
15,196 | lean_file_chunk | 2d4f463c08cad01bde0fe2c44b3d5a8ef774d4b61e3c46ff2cd0824826564dc4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.RotatingEllipse
import Mathlib.Tactic.FieldSimp
import Mathlib.Tactic.FinCases
import Mathlib.Tactic.Ring
/-!
# Periodic Kepler el... |
8,906 | lean_file_chunk | 90728ead2aa0909a6d3d9062f5c4173a941d13899588bc7a2cc0a0bbdbd31701 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.KeplerOrbit
import LeanPool.PoincareThreeBody.Perturbation
import Mathlib.Tactic.LinearCombination
import Mathlib.Tactic.Ring
/-!
... |
6,924 | lean_file_chunk | 6488bda32eab738942aca889083b75364c52ef3891cf84607c9759291bf14f1f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.SafeCollisionPhase
import LeanPool.PoincareThreeBody.AnalyticCompactParameterIntegral
/-!
# Analyticity of the collision-avoiding ... |
7,376 | lean_file_chunk | 60990bf8ab9066a150ba5e3fdcf69ca2b815987e2fde52635b04cf2d7ccd91ee | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.AlignedAverageBlowup
import Mathlib.Analysis.SpecialFunctions.Trigonometric.Complex
/-!
# A phase avoiding every boundary collisio... |
2,150 | lean_file_chunk | 0136cf1627b8049480477ee505940ae7104b4ddc1d5d446839ebba4b208e73eb | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import Mathlib.MeasureTheory.Integral.IntervalIntegral.TrapezoidalRule
/-!
# Validated quadrature certificates
These lemmas turn a finite trapezoidal sum and a cer... |
3,603 | lean_file_chunk | 680062efbe2a018c4a9f0e21495f454b9997b02e491df53ef8ac3c4283d31648 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Gershon Bialer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gershon Bialer
-/
import LeanPool.PoincareThreeBody.Analytic
import LeanPool.PoincareThreeBody.AnalyticNormalization
import LeanPool.PoincareThreeBody.AnalyticMinors
import LeanPool.P... |
18,892 | lean_file_chunk | 1a4d971993dbf46628edc7475dd0c03c3cece24227c9445cbaa265ec7d4bb6c4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Lua Viana Reis, Oliver Butterley, Pietro Monticone. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lua Viana Reis, Oliver Butterley, Pietro Monticone
-/
import Mathlib.Algebra.Order.Group.PartialSups
import Mathlib.Algebra.Order.SuccPred.PartialS... |
948 | lean_file_chunk | 182a21e43824c6c94f2dbf8a2f7a879053852d9e93227add3bf463dd7fbab638 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Lua Viana Reis, Oliver Butterley, Pietro Monticone. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lua Viana Reis, Oliver Butterley, Pietro Monticone
-/
import LeanPool.PointwiseBirkhoff.Main
/-!
# Pointwise Birkhoff Ergodic Theorem
Source: url... |
13,476 | lean_file_chunk | dc28f8223a6ddebf7ce510f66fb93f6424e179dd6122e34b1f13b70626e242c0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Luka Opravš. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luka Opravš
-/
import Mathlib.GroupTheory.Perm.Cycle.Type
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import M... |
5,323 | lean_file_chunk | ee9047fc2725fe4f091606a124a8850999dd1f6d80e52f0a564a154fd27075c5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Luka Opravš. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luka Opravš
-/
import LeanPool.PolyaEnumerationTheorem.ReductionToFin
import LeanPool.PolyaEnumerationTheorem.PermutationAuxiliary
import Mathlib.GroupTheory.SpecificGroups.Dihedral
/-!
... |
12,772 | lean_file_chunk | 647e2a90e2594758b3a501bf46510d4214128dadadc3d29283eedc7740329172 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Luka Opravš. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luka Opravš
-/
import Mathlib.GroupTheory.Perm.Cycle.Type
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import M... |
5,081 | lean_file_chunk | 5c2d1bb69ece7622396e9cd4dc9fcc436867376fe6029fef13fa6d000ddfb0d7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Luka Opravš. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luka Opravš
-/
import Mathlib.Data.FinEnum
import LeanPool.PolyaEnumerationTheorem.Basic
/-!
# Reduction to `Fin`
If we have a bijection `X → Fin n`, then the number of distinct colorin... |
890 | lean_file_chunk | 191e0058b48b4532294480ee2160a2c037fffb29e09bd3dbe95116a2f5d918c2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Luka Opravš. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luka Opravš
-/
import LeanPool.PolyaEnumerationTheorem.Concrete
/-!
## Stirling numbers of the first kind
The Stirling numbers of the first kind, defined here as the number of permutati... |
2,204 | lean_file_chunk | 4865feef7c2ec3fc9bfdeeb2912f1e3cc9075ccd65d749531f6ff2e81ae6f4ff | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Luka Opravš. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luka Opravš
-/
import LeanPool.PolyaEnumerationTheorem.Basic
import LeanPool.PolyaEnumerationTheorem.PermutationAuxiliary
import LeanPool.PolyaEnumerationTheorem.ReductionToFin
import Le... |
480 | lean_file_chunk | e5c211af7a155cb1022d2eb7b6ac12114781595291cc50aa002d30d7f5e54de9 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.Complexes.Structures.FreeGroupoid
namespace LeanPool.Polylean
/-!
# Universal Covers
This upstream file curre... |
23,166 | lean_file_chunk | 39391ec52110d18b7b5479a3f7eef99ea1b4e1ac819590d01a05190f4ace82f8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Mathlib.Algebra.Group.Basic
import Mathlib.Algebra.Group.Defs
/-!
# LeanPool.Polylean.Complexes.GraphPaths
-/
namespace LeanPool... |
4,088 | lean_file_chunk | 2f40dc00d6b409c14719636969378d19edd37c40061ad81ccfb59718163b678c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.Complexes.Structures.Quiver
/-!
# LeanPool.Polylean.Complexes.Structures.Category
Imported Lean Pool material ... |
1,815 | lean_file_chunk | de744243341d1f4e4288b80e506692025545950dbad7f88d888f86f009a10229 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.Complexes.Structures.Groupoid
namespace LeanPool.Polylean
universe u vq vg
namespace FreeGroupoid
/-- The de... |
3,081 | lean_file_chunk | 9b0f7305491db5a129a1f958a7fc56e3931b66f9085033421591cba877f38369 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.Complexes.Structures.Category
/-!
# LeanPool.Polylean.Complexes.Structures.Groupoid
Imported Lean Pool materia... |
1,088 | lean_file_chunk | aea07dc71270fa8c62544e45f869c4ab2f00fd74960c2886eace5a9724e6dc58 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.Complexes.Structures.Category
namespace LeanPool.Polylean
/-!
`Invertegory` is an intermediate structure betwe... |
5,837 | lean_file_chunk | 3c0eb2f7b58acdd67e0a9e44acea2c402a7da5f42aa5eb94955688d68a337b34 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
namespace LeanPool.Polylean
universe u v w
/-- A `Quiver` `G` on a type `V` of vertices assigns to every pair `a b : V` of vertices
... |
1,425 | lean_file_chunk | 7cf3eabc7885279c736d1bac8bcead2205b2686a0c340c5f97dae95c21f727e6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.Complexes.Structures.Groupoid
namespace LeanPool.Polylean
universe u vq vg
/-!
A two-complex is defined by an... |
758 | lean_file_chunk | 6fe512b8a8f107359f62b595ce7873a86112027c87428f097a967edad3442ceb | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.Complexes.Constructions.UniversalCover
import LeanPool.Polylean.Complexes.GraphPaths
import LeanPool.Polylean.Co... |
3,606 | lean_file_chunk | cd2afbf9b8df29465ff7ae695a649f6a044286e0f710984fcbfc29830b22e48a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Std.Data.HashMap
import LeanPool.Polylean.ConjInvLength.LengthBound
/-!
# LeanPool.Polylean.ConjInvLength.Length
-/
namespace Le... |
2,733 | lean_file_chunk | 808217c3b9d4aee46390fc0f8236621b05522c562318b0cc40280dd44051f465 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Mathlib.Algebra.Group.Defs
/-!
# LeanPool.Polylean.ConjInvLength.LengthBound
-/
namespace LeanPool.Polylean
/-- The four generat... |
7,026 | lean_file_chunk | 9ba4b21683558185e65f862fa0fa3571762020f7da5f76cd63ad0def9bb36618 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.ConjInvLength.Length
import Std.Data.HashMap
/-!
# Cached proof nodes for conjugacy-invariant length bounds
-/
... |
1,385 | lean_file_chunk | f925b9e49fe318ae306b892d38c303f1345be7cd1a98e0213f413b619cdd6a90 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Std.Data.HashMap
import LeanPool.Polylean.ConjInvLength.LengthBound
/-!
# LeanPool.Polylean.ConjInvLength.MemoLength
-/
namespac... |
5,646 | lean_file_chunk | 8d054d64d7511a2482ac05d52464bbf558da8d9b08dfac2c578bea386e74c2ef | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.ConjInvLength.LengthBound
/-!
# LeanPool.Polylean.ConjInvLength.ProvedBound
-/
namespace LeanPool.Polylean
ope... |
3,860 | lean_file_chunk | 8d7687d81a7966eff41ea40562bd083046f83d62c5cc47328f8f04eb592b1f61 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.ConjInvLength.ProvedBound
/-!
# LeanPool.Polylean.ConjInvLength.WordTree
-/
namespace LeanPool.Polylean
/-- A... |
587 | lean_file_chunk | da14661cbdf2ee67a9af820b48fc13df6db4bb6292d999ce88188294fc534687 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.ConjInvLength.Length
import LeanPool.Polylean.ConjInvLength.LengthBound
import LeanPool.Polylean.ConjInvLength.L... |
1,566 | lean_file_chunk | 53f4773b749ce33f356ac3f7200a027804cfd6c18638e22a07d802b100f9f730 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.ConjInvLength.Length
import LeanPool.Polylean.ConjInvLength.LengthBound
import LeanPool.Polylean.ConjInvLength.L... |
4,737 | lean_file_chunk | 4e0a722f52956a5056c54b767d7ade3129ba907094d9dca1781ef918730e5383 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Mathlib.Algebra.Group.Prod
import Mathlib.Data.Int.Cast.Lemmas
import Mathlib.Algebra.Ring.Basic
import LeanPool.Polylean.UnitConj... |
5,086 | lean_file_chunk | 600b61f5963134eaf627d58052e2b8c528fea5ce9946047c7a63bf5f577d2083 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.T... |
5,807 | lean_file_chunk | 6d8ee7b3c44c4ec9a56911ca6947c88f95fabc81eab4f31c9dd898ecfbf8f704 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
namespace LeanPool.Polylean
/-!
## Decision by enumeration
For a type `X` that is finite (or more generally, *compact*), it is possible... |
23,974 | lean_file_chunk | 0c6cbc2d85bd08bf26813161179cb6635ebb6ace4a3c5264563ee1978007baef | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Mathlib.Algebra.Ring.Basic
import Mathlib.Algebra.Group.Defs
/-!
# Free modules
We construct the free module over a ring `R` gen... |
16,621 | lean_file_chunk | 657de40cd8ae880f8ab0af502046faba5266e8a4b7a471fe2d92c71e3e099dff | lean_source_file | lean_pool_source_file_chunks | have lem : a + k = coords ((a, x) :: tail) x₀ := by
rw [coords, monomCoeff, c]
have c'' : x = x₀ := of_decide_eq_true c
rw [c'']
rw [c''] at lem
exact
if c' : (0 = k) then by
have lIneq : tail.length < List.length ((a, x) :: tail) := by
simp only [List.lengt... |
6,620 | lean_file_chunk | 4f5bedb470ac926d60437ccd1adf7f87e547a0ba50f86aa850ca8747575b6886 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.T... |
7,402 | lean_file_chunk | d13d65f6294375404365225a724ccef4d492fb145ec1d52c9a177811d92fa164 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Mathlib.Algebra.Field.Basic
import Mathlib.Data.ZMod.Defs
import LeanPool.Polylean.UnitConjecture.TorsionFree
import LeanPool.Poly... |
16,375 | lean_file_chunk | b59dd047d8c2af8837af51c124532895765a31971a7c089591451f7fb84f20fb | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.UnitConjecture.FreeModule
import Mathlib.Algebra.Field.Basic
/-!
# Group Rings
We construct the Group ring `R[... |
3,724 | lean_file_chunk | f0f826ca1fd5ccac5dc679b90040ee77337569a36464cab1ad428b469a321191 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.T... |
539 | lean_file_chunk | b221b63c667dacc992556847306247a0e64fd7822a0b209cdf7f5f9138a6759c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Aesop
/-!
# LeanPool.Polylean.UnitConjecture.Tactics.AesopRuleSets
Imported Lean Pool material for `LeanPool.Polylean.UnitConjec... |
1,119 | lean_file_chunk | 3209480e9d932f3ba3d330c24651e4ae8d4ce3f989b2596dd2dbb02a3b11c171 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import Lean
open Lean Meta Elab Tactic Term
namespace LeanPool.Polylean
/-- A tactic to reduce the main goal, up to definitional equal... |
429 | lean_file_chunk | 79ae00d06916d8c961e27b353b00c8d69d6ef14ea16817190b9b9769a9151511 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.UnitConjecture.Tactics.AesopRuleSets
import LeanPool.Polylean.UnitConjecture.Tactics.ReduceGoal
/-!
# Unit Conj... |
7,403 | lean_file_chunk | a827a47736762adea9c03803685016741b245a76fc091fa53bd71fb2a2c44110 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.UnitConjecture.GardamGroup
/-!
## Torsion-freeness of `P`
This file contains a proof that the group `P` define... |
2,898 | lean_file_chunk | 37ecb4c7d76c43b99815abda2e19183fae65bb3d3166700290c10a19b819e354 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.UnitConjecture.TorsionFree
import LeanPool.Polylean.UnitConjecture.GroupRing
import LeanPool.Polylean.UnitConjec... |
1,408 | lean_file_chunk | d03ca43ee0b0e774cd3c66c3e54840d9151d9596c8ab6d48ee170b8bac86001c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Siddhartha Gadgil, Anand Rao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddhartha Gadgil, Anand Rao
-/
import LeanPool.Polylean.UnitConjecture
import LeanPool.Polylean.Complexes
import LeanPool.Polylean.Complexes.Constructions.UniversalCove... |
23,998 | lean_file_chunk | a1734b98878e258f64fa69c513b3983ad122dab5c66362f46fe40c8f2e66b547 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nick Adfor. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nick Adfor
-/
import Mathlib.Algebra.Field.ZMod
import Mathlib.Combinatorics.Nullstellensatz
import Mathlib.Data.Nat.Choose.Basic
import Mathlib.Tactic.NormNum
import Mathlib.Tactic.Linar... |
23,928 | lean_file_chunk | ad0b5fbdeea8b7edb1e5c348d49173671bc42b4d67a190676c83c0264d0546d0 | lean_source_file | lean_pool_source_file_chunks | simp_all only [Nat.add_right_cancel_iff]
· simp +decide [add_comm]
refine le_antisymm ?_ ?_
· simp_all +decide only [Finset.sup_le_iff, MvPolynomial.mem_support_iff, ne_eq]
intro b hb
contrapose! hb
rw [MvPolynomial.coeff_eq_zero_of_totalDegree_lt]
refine lt_of_le_of_lt (b := ?_) ?_ ?_
· exa... |
15,864 | lean_file_chunk | 5060b3668e559bf441cbd10c69d101f266bda964878039ec873ceed393b3410e | lean_source_file | lean_pool_source_file_chunks | have h_coeff_zero : MvPolynomial.coeff (Finsupp.equivFunOnFinite.symm c) (h * (P - Q)) = 0 :=
coeff_equivFun_eq_zero_of_totalDegree_lt _ c (h_deg ▸ h_total_degree)
simp_all? +decide [mul_sub]
exact eq_of_sub_eq_zero h_coeff_zero
/--
Lemma 2.1.12 : The total degree of the difference between the prod... |
8,027 | lean_file_chunk | 4600ebfe6e2ad560b1460eef910bb8b68fc887039225cb84507f821495cf59d1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nick Adfor. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nick Adfor
-/
import Mathlib.Algebra.Field.ZMod
import Mathlib.Algebra.Order.Ring.Star
import Mathlib.Analysis.Normed.Ring.Lemmas
import Mathlib.Combinatorics.Nullstellensatz
import Mathl... |
19,330 | lean_file_chunk | 4fa5df33a6f1dc4c3131aa51e8551848c71ee8bebd3c3dab7b9c61184a0399cc | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nick Adfor. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nick Adfor
-/
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.NormNum
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Set
import Mathlib.Tactic.Common
import Mathlib.Tactic.Tauto
im... |
6,560 | lean_file_chunk | aeedfbe3c7590c495da833b26340a0b53a60c5b7ed4143415915c5a25521523a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nick Adfor. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nick Adfor
-/
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Set
import Mathlib.Tactic.Common
import Aesop
import Mathlib.Data.ZMod.Basic
import Mathlib.Data.Nat.Choose.Basic
import... |
23,956 | lean_file_chunk | ae770176bf81929987bee02bba4abc8d4091740c129ba19c1c1471d098b812e2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nick Adfor. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nick Adfor
-/
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.NormNum
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Zify
import Mathlib.Tactic.SplitIfs
import Mathlib.Tactic.Set
i... |
2,319 | lean_file_chunk | 768df4214cd525cac4164962ba63e1cb11ad3d68d7e7eb7528318d19893962a1 | lean_source_file | lean_pool_source_file_chunks | ext; simp only [restrictedSumSet, vandermondePolynomial, ne_eq, mem_image, mem_filter,
Fintype.mem_piFinset];
constructor
· rintro ⟨a, ha, rfl⟩
obtain ⟨ha₁, ha₂⟩ := Finset.mem_filter.mp ha
refine ⟨a, ?_, rfl⟩
constructor
· simpa only [Finty... |
23,980 | lean_file_chunk | f7c27c21b266cc1431c509610f42249fcce5cf2abeb4c9d9a541f997b15e8aad | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nick Adfor. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nick Adfor
-/
import Mathlib.Combinatorics.Nullstellensatz
import Mathlib.Data.Nat.Cast.Field
import Mathlib.Data.Nat.Choose.Basic
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linar... |
6,333 | lean_file_chunk | ac7f687655fed1df743588e38d719737f1dcc431df9684d63b976f9771a4c730 | lean_source_file | lean_pool_source_file_chunks | -- of indices where i is non-zero. Therefore, (snd i) must equal ( i : ℕ).
have h_snd_support : snd = ∑ i, Finsupp.single i (σ i : ℕ) := by
simp_all? (config := {decide := Bool.true}) [MvPolynomial.X_pow_eq_monomial]
-- Since snd is a monomial in the product of X_i^( i), i... |
1,624 | lean_file_chunk | 113058a5bc10955cb2a02e296d1dfe5280c8ce75a50b01dcc090397ae6a719cc | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Nick Adfor. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nick Adfor
-/
import LeanPool.PolynomialMethodRestrictedSums.ANRPolynomialMethod
import LeanPool.PolynomialMethodRestrictedSums.CauchyDavenportTheorem
import LeanPool.PolynomialMethodRest... |
7,494 | lean_file_chunk | 04470561ac7c41365bf483ecc8bc78e13971d4fc08f42377b825e99bcfc40a1c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jun Kwon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jun Kwon
-/
import LeanPool.Polytopes.Polar
/-!
Cut spaces obtained by intersecting collections of halfspaces.
-/
open Module
variable {E : Type} [NormedAddCommGroup E] [InnerProductSpac... |
11,350 | lean_file_chunk | 88b72777bbf711e1f057b1965a839c6beb91c242a78f8032e00e34b805cc8c0b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jun Kwon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jun Kwon
-/
import Mathlib.Analysis.Convex.Independent
import Mathlib.Analysis.InnerProductSpace.Dual
import Mathlib.Analysis.Normed.Module.HahnBanach
import LeanPool.Polytopes.Pre
/-!
Hal... |
23,941 | lean_file_chunk | c72411e89185b0b4e41646148e9f28856d08ad739e3412852d02425664e2620f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jun Kwon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jun Kwon
-/
import LeanPool.Polytopes.Polytope
/-!
Let 𝑋 be a closed convex subset of ℝ^𝑑. Then:
• 𝑋 is a 𝑉-polytope if it is the convex hull of a finite point set.
• 𝑋 is an 𝐻-polyt... |
3,631 | lean_file_chunk | a8c24a0c3907fd758225ac08d04803a2481b1e1f07a23f398eba28e7229685da | lean_source_file | lean_pool_source_file_chunks | · apply Set.Finite.preimage (Set.injOn_of_injective Subtype.val_injective)
rw [Set.sub_singleton]
exact hS.image _
· have hinj : (SpanS.direction.subtype.toAffineMap).toFun.Injective := by
simp_all
have hsub : (S - {s}) ⊆ Set.range (SpanS.direction.subtype.toAffineMap) ... |
8,394 | lean_file_chunk | 976cba05156095d3a0e1ff791dd0087006a21df46ffd64720c858bcfc65ab392 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jun Kwon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jun Kwon
-/
import LeanPool.Polytopes.Halfspace
import Mathlib.Analysis.Convex.KreinMilman
/-!
Polar duals and their compactness properties.
-/
variable {E : Type} [NormedAddCommGroup E] ... |
6,849 | lean_file_chunk | 004682050211451182124dba20a05447e8d944c7e6eff58c8044a8a3a61a2d79 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jun Kwon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jun Kwon
-/
import LeanPool.Polytopes.Cutspace
/-!
Definitions and basic properties of V-polytopes and H-polytopes.
-/
variable {E : Type} [NormedAddCommGroup E] [InnerProductSpace ℝ E] [... |
8,362 | lean_file_chunk | 49f9fa4215325dd03e3de8c925f716be320f2a9e35863e0b6c3622a8ac1cb6b7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jun Kwon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jun Kwon
-/
import Mathlib.Analysis.Convex.Intrinsic
import Mathlib.Analysis.InnerProductSpace.Orthogonal
import Mathlib.Data.Vector.Basic
import Mathlib.LinearAlgebra.Basis.Submodule
/-!
... |
1,317 | lean_file_chunk | 40b6b618ba7a568c26a95f1ac76ef1de60c290c609c71533f18b917d4029052d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jun Kwon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jun Kwon
-/
import LeanPool.Polytopes.MainTheorem
/-!
# The main theorem of polytopes
Source: url:https://github.com/Jun2M/Main-theorem-of-polytopes
Authors: Jun Kwon
Status: verified
Mai... |
18,740 | lean_file_chunk | d2551aef6c08608b9bab67d1d31636b02cd39199c7cb4f2c70b796dbbee78b04 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2024 Alexander Loitzl, Martin Dvorak. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Loitzl, Martin Dvorak
-/
import Mathlib.Computability.ContextFreeGrammar
import LeanPool.PumpingCfg.ChomskyNormalForm.ContextFreeGrammarExtras
/-!
# Chomsky... |
8,135 | lean_file_chunk | 091ae32f0527d8ba98d2fd9dfa622a1df018ad05a3c94adf7e03a47352bf0b2c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2024 Alexander Loitzl, Martin Dvorak. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Loitzl, Martin Dvorak
-/
import Mathlib.Computability.ContextFreeGrammar
/-!
# Extra lemmas about context-free grammars
Additions to `Mathlib.Computability... |
23,971 | lean_file_chunk | 583f36f8106efc1efc4b395a68916c65cb9bc0a98838882638e4777abede1c64 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2024 Alexander Loitzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Loitzl
-/
import Mathlib.Computability.ContextFreeGrammar
import LeanPool.PumpingCfg.ChomskyNormalForm.ContextFreeGrammarExtras
/-!
# Empty Elimination
This file contains... |
11,714 | lean_file_chunk | 0aa5ee0d163b12b7f2ccc871ce036384ce93c60e24e001a6fb5a313adb6fd5a7 | lean_source_file | lean_pool_source_file_chunks | apply addNullablesIter_only_nullableNonTerminal _ _ _ _ hng
tauto
· intro hn
obtain ⟨m, hgnm⟩ := (derives_iff_derivesIn _ _ _).1 hn
apply nullable_mem_addNullablesIter
exact hgnm
end ComputeNullables
/-! Definition and properties of `ContextFreeGrammar.eliminateEmpty`, the algorithm to remove all
ru... |
22,235 | lean_file_chunk | b4e5a0e31d7c0606a63a1069f5bddd322fa58fa68d50ad3c901e3bf682d848c6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2024 Alexander Loitzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Loitzl
-/
import Mathlib.Computability.ContextFreeGrammar
import LeanPool.PumpingCfg.ChomskyNormalForm.Basic
/-!
# Length Restriction
This file contains the algorithm to ... |
13,772 | lean_file_chunk | f1bc016415de18c65283387450049e318d5a8fd37309665d9ec2635cd214fe98 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2024 Alexander Loitzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Loitzl
-/
import Mathlib.Computability.ContextFreeGrammar
import LeanPool.PumpingCfg.ChomskyNormalForm.UnitElimination
/-!
# Terminal Restriction
This file contains the a... |
8,461 | lean_file_chunk | 4d8add619d95b405dbcd34aaf51dae309de469384098ee238202a221a05be39a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2024 Alexander Loitzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Loitzl
-/
import Mathlib.Computability.ContextFreeGrammar
import LeanPool.PumpingCfg.ChomskyNormalForm.Basic
import LeanPool.PumpingCfg.ChomskyNormalForm.EmptyElimination
i... |
23,145 | lean_file_chunk | 1834e45b877877509a2d1591a325a1724444c8237387d96a6e05108d5b18e9e3 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2024 Alexander Loitzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Loitzl
-/
import Mathlib.Computability.ContextFreeGrammar
import Mathlib.Data.Finset.Prod
import LeanPool.PumpingCfg.ChomskyNormalForm.EmptyElimination
/-!
# Unit Eliminat... |
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