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 |
|---|---|---|---|---|---|
1,743 | lean_file_chunk | e29925197a5c16145f55257c72322b483da94697d09a8549368d9869b61a2c03 | lean_source_file | lean_pool_source_file_chunks | then (fdBoundaryH H t - I)⁻¹ * deriv (fdBoundaryH H) t
else 0)
(𝓝[>] 0) (𝓝 (-(I * ↑Real.pi))) by
simp_all
apply ContourIntegral.pv_tendsto_of_crossing_limit
(t₀ := 2) (ht₀ := by norm_num)
(threshold := threshold) (hthresh := hthresh_pos)
(δ := fun ε => 12 / Real.pi * Real.arcsin (ε / 2... |
23,974 | lean_file_chunk | 1336b1433ab1f82ae9ed74daf1e37719fbe886f458a66f596a78b6e20d98f210 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import LeanPool.LeanModularForms.ValenceFormula.WindingWeights.Common
import LeanPool.LeanModularForms.ContourIntegral.WindingNumber
import LeanPool.LeanModularForms... |
21,232 | lean_file_chunk | bec704fae019169995992a3d52d5c49d1ea9f2211fd9831201e48b649e0f63d8 | lean_source_file | lean_pool_source_file_chunks | have hh₃_deriv_cont : ContinuousOn (deriv h₃) (Icc 4 5) := by
rw [show deriv h₃ = fun _ => (1 : ℂ) from
funext fun t => (hd_h₃ t).deriv]; exact continuousOn_const
have hh₀_slit : ∀ t ∈ Icc (0 : ℝ) 1, h₀ t ∈ slitPlane := by
intro t ht; rw [← hg_eq_h₀ t ht.2]
exact fdBoundary_H_sub_rho_seg0_slitPlane ... |
23,942 | lean_file_chunk | eaf4eb5cd37cc4e8def4d60667fbd2badd76c9c21ee27c2e7e9a36c741449e6b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import LeanPool.LeanModularForms.ValenceFormula.WindingWeights.Common
import LeanPool.LeanModularForms.ContourIntegral.WindingNumber
import LeanPool.LeanModularForms... |
20,265 | lean_file_chunk | 8bea5f25bceb98a986895bbf07ec551bc6d0ae02a1bc0806b635ce316c916310 | lean_source_file | lean_pool_source_file_chunks | funext fun t => (hd_h₀ t).deriv]; exact continuousOn_const
have hh₁_deriv_cont : ContinuousOn (deriv h₁) (Icc (1 + δ_R) 3) := by
rw [show deriv h₁ = fun t => ↑(Real.pi / 6) * I * exp (↑(Real.pi * (1 + t) / 6) * I) from
funext fun t => (hd_h₁ t).deriv]
exact (Continuous.mul continuous_const (Continuous.c... |
1,448 | lean_file_chunk | f11b679feee091f3d58e5c8c83570c4e1702384fa56399a354aa49a6e3406ec5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import LeanPool.LeanModularForms.ValenceFormula.WindingWeights.I
import LeanPool.LeanModularForms.ValenceFormula.WindingWeights.Rho
import LeanPool.LeanModularForms.... |
12,807 | lean_file_chunk | cabecf5829efe122dd889b03a8dc21e503b99237cfe10e9d1df71f62328cac5a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import LeanPool.LeanModularForms.ContourIntegral.CrossingLimit
import LeanPool.LeanModularForms.ContourIntegral.PVSplit
import LeanPool.LeanModularForms.ContourInteg... |
605 | lean_file_chunk | 6d73566034b06e1b3aea6e9482fa697d141e0cc431d09f1d241dc4aef8b15c28 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Seewoo Lee. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seewoo Lee
-/
import LeanPool.LeanPolyABC.MasonStothers
import LeanPool.LeanPolyABC.Lib.DivRadical
import LeanPool.LeanPolyABC.Lib.Max3
import LeanPool.LeanPolyABC.Lib.Wronskian
import Le... |
4,688 | lean_file_chunk | ddb7698609a9aaf95a9db760fc1c6cd53bb9bd2d8462ae9cad47a5e544df85b1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Seewoo Lee. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seewoo Lee
-/
import Mathlib.Algebra.CharP.Defs
import Mathlib.Algebra.EuclideanDomain.Defs
import LeanPool.LeanPolyABC.MasonStothers
/-!
# LeanPool.LeanPolyABC.Corollaries.Davenport
-/
... |
10,975 | lean_file_chunk | bf2208140b302dedc82f45305d1f483563bfeb1400cdd5dd6ea1cbc5cc281af5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Seewoo Lee. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seewoo Lee
-/
import Mathlib.Algebra.CharP.Defs
import Mathlib.Algebra.EuclideanDomain.Defs
import Mathlib.RingTheory.MvPowerSeries.Basic
import Mathlib.Algebra.Polynomial.Expand
import M... |
9,016 | lean_file_chunk | cd199eaa692390a392edabc626110be0f80497a9a94a75634bec7018107d82fc | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Seewoo Lee. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seewoo Lee
-/
import Mathlib.FieldTheory.RatFunc.AsPolynomial
import LeanPool.LeanPolyABC.Corollaries.FltCatalan
/-!
# LeanPool.LeanPolyABC.Corollaries.NoParametrization
-/
noncomputab... |
3,965 | lean_file_chunk | e592186e83bf8f5d5531212e0c8e6714b0fb822fb05e3ff1e573557f68ffe7c2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Seewoo Lee. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seewoo Lee
-/
import Mathlib.Algebra.Polynomial.FieldDivision
import Mathlib.Algebra.Ring.Regular
import Mathlib.RingTheory.UniqueFactorizationDomain.Multiplicative
import LeanPool.LeanPo... |
1,478 | lean_file_chunk | ffb2c7491f1e55815bf8c36e84eb43bc850acb434e948f91eaaab1854f166eeb | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Seewoo Lee. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seewoo Lee
-/
import Init.Data.Nat.Lemmas
/-!
# LeanPool.LeanPolyABC.Lib.Max3
Imported Lean Pool material for `LeanPool.LeanPolyABC.Lib.Max3`.
-/
namespace Nat
/-- The maximum of thre... |
8,459 | lean_file_chunk | 50f49d19f745e64a3b7212fd17404ee09354680e0e11223d9790a71c9e3e2e2f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Seewoo Lee. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seewoo Lee
-/
import Mathlib.Algebra.Polynomial.FieldDivision
import Mathlib.Algebra.Ring.Regular
import Mathlib.RingTheory.Polynomial.Content
import Mathlib.RingTheory.UniqueFactorizatio... |
3,126 | lean_file_chunk | 6d5868fd59a8107e09752851737848cfd5a5f5a11702ea658271d71b5ca84ffe | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Seewoo Lee. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seewoo Lee
-/
import Mathlib.Algebra.Polynomial.Derivative
/-!
# LeanPool.LeanPolyABC.Lib.Wronskian
-/
noncomputable section
open scoped Polynomial
open Polynomial
namespace LeanPoly... |
10,853 | lean_file_chunk | 55defdbf98545dd68d17afc142385a31d22940a094f218860627a1f942f5d52a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Seewoo Lee. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seewoo Lee
-/
import Mathlib.Algebra.CharP.Defs
import Mathlib.Algebra.EuclideanDomain.Defs
import Mathlib.Algebra.Polynomial.FieldDivision
import LeanPool.LeanPolyABC.Lib.Wronskian
impor... |
1,073 | lean_file_chunk | 86aaea39065105f0895fa9fc2af0528c6c7fb9a438e74144b98055e9c8a00ab8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Seewoo Lee. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seewoo Lee
-/
import LeanPool.LeanPolyABC.All
/-!
# Polynomial ABC (Mason–Stothers) and its corollaries
Source: arxiv:2408.15180
Authors: Seewoo Lee
Status: verified
Main declarations: ... |
4,930 | lean_file_chunk | 588db0eac6c5cef38e93452de3dfd6595d11931b70ad70c9a60c55692257a940 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Algorithms.QPE
public import LeanPool.LeanQuantumAlg.Primitives.AmplitudeAmplificat... |
12,226 | lean_file_chunk | 6a3bdbe93c6b67ace4c119411121904c734063f9bd4b017576d1eaeb20740f0d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Primitives.WalshHadamard
public import LeanPool.LeanQuantumAlg.Core.Cost
/-!
# Ber... |
11,303 | lean_file_chunk | cd16816d4b09c9a91767319e7559d486e74c255cc129934e8f2024f55a91ca96 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Primitives.WalshHadamard
public import LeanPool.LeanQuantumAlg.Primitives.PhaseKick... |
4,162 | lean_file_chunk | 3fed3325f4f8c380362712dbb36e01ca2288e0990afd399f704e0e582a02ca76 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Gates
/-!
# GHZ state preparation
The three-qubit GHZ state `(|00... |
9,701 | lean_file_chunk | f27618cf83603994735d2c185d7f2055848f81d93af9faccb7d2ce9c0502a1a4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Primitives.AmplitudeAmplification
public import LeanPool.LeanQuantumAlg.Core.Cost
... |
9,659 | lean_file_chunk | 25f510c4c5f7a1d3fc8719839c554dd1b5fc12a5cae5f329214366a1feeadefc | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Algorithms.QPE
/-!
# Order finding (exact, dyadic period `r ∣ 2^t`)
Order finding... |
11,277 | lean_file_chunk | 7871436dd0135f2718af84d12df16c9df6987662d9f610c949c59fa440217538 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Cost
public import LeanPool.LeanQuantumAlg.Primitives.QFT
public import LeanPo... |
8,037 | lean_file_chunk | 62349d29ab5ef5b1efe919ca40b577d469ebc0fbc54b181145f68dce4a319c42 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.Data.ZMod.Basic
public import Mathlib.Algebra.BigOperators.Group.Finset.Basic
public import LeanPoo... |
5,865 | lean_file_chunk | e80bb74cf7dc2cfa108e1548834c3970d6d4eed4df7fd279b18d7c8dbc085780 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Cost
public import LeanPool.LeanQuantumAlg.Primitives.BellPair
/-!
# Superden... |
12,542 | lean_file_chunk | cc8f3a02e27cddd2d8ae884d6ef25c7f2b34ac4a5494ecd1557e183eba9d6997 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Cost
public import LeanPool.LeanQuantumAlg.Primitives.BellPair
/-!
# Quantum ... |
911 | lean_file_chunk | 58b60565e765265a0a2076df85713e657c7441c8ba21124bf0ccd8677ea0b426 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Algorithms.QPE
public import LeanPool.LeanQuantumAlg.Algorithms.GHZ
public import L... |
7,864 | lean_file_chunk | 4eb49a8e037bd37b931a24b6494d181220b1265bf8e2c3730450468254c0a65c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Gates
/-!
# Controlled gates
`Gate.controlled U` is the `(1 + n)`... |
11,495 | lean_file_chunk | 682bba91a23441cbe84667514127e047f79c811e83495b7317a0212b91fbf577 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Tensor
public import LeanPool.LeanQuantumAlg.Core.Components.Kets
public impor... |
5,623 | lean_file_chunk | e5f2ebbf414cde9b0e2a19769f9c6a9137878bddc72fc60841997ad840c11575 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Measurement
/-!
# Named one-qubit kets
The standard one-qubit computational-... |
3,697 | lean_file_chunk | 33a014f5a145a68b5c98ea6fb9edf92320c92ae6b4c5f9874e53bb2bdcdad5e7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Tensor
/-!
# Boolean (XOR) oracles
Standard quantum-circuit access to a Bool... |
582 | lean_file_chunk | 57b2b3e7524e2823f23f1a829c548ecffdbe18913b3c299830cadad72d384ca9 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Kets
public import LeanPool.LeanQuantumAlg.Core.Components.Gates
pu... |
7,017 | lean_file_chunk | afb6eacc08f002f8d496f0a244b1e12857bdfa54143b3dd36c3d3832dbe83733 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
/-!
# Trusted cost annotations
This module connects Lean-QuantumAlg theorem endpoints to a small trusted cost
interface... |
13,743 | lean_file_chunk | 9c3a11e82ebbb731809540fae807cf913eb43c23566176e1fe2c7df379a52a1a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.State
public import Mathlib.LinearAlgebra.UnitaryGroup
public import Mathlib.L... |
4,665 | lean_file_chunk | 4f5804bf867f164c618058ef908b5b91243478177fb19132649a7c523a722772 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Tensor
/-!
# Computational-basis measurement
Born rule for the computational... |
5,369 | lean_file_chunk | 4c62f9f3056989ae0452866330ad82b803caf7c76bb7b6e8462eca3b5fc45763 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.Analysis.InnerProductSpace.PiL2
/-!
# Qubit states
An `n`-qubit pure state is a unit vector in `ℂ... |
14,461 | lean_file_chunk | 5987fa38cdca2b638f35c7315a8f4152e808b11b6563f41696ee479bb5147cd4 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Gate
public import LeanPool.LeanQuantumAlg.Util.FinPow
public import Mathlib.L... |
673 | lean_file_chunk | a0d14b3290bff78aca9b97da51e464e11c6b108b065a0434e3aa21467c099b42 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.State
public import LeanPool.LeanQuantumAlg.Core.Gate
public import LeanPool.L... |
320 | lean_file_chunk | 96b06afd93317a831c3ff9e4def35bbe66239c752b9567b8770a26a360aebcf5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import Mathlib.Data.Nat.Notation
/-!
# QuantumAlg initialization
This module sets up the public QuantumAlg import environment.
-/
@[expose] public section |
12,511 | lean_file_chunk | efe0917905c7c99eeff6b59641ceb5dd48a9f459d45278d5ae1fe3eb7b905832 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Gates
public import LeanPool.LeanQuantumAlg.Core.Measurement
public... |
3,500 | lean_file_chunk | fc4d7edb234bcd9aa922673cbe35def0c52c7ae30213a8f92d59c6a1f80e443b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Gates
/-!
# Bell pair (EPR pair) and its preparation
The Bell sta... |
18,858 | lean_file_chunk | 8270ceccdbbab8c227f9ed32ebaef12ffef048349a33b20cd80b5212acac573d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Cost
public import LeanPool.LeanQuantumAlg.Primitives.PhaseKickback
public imp... |
7,819 | lean_file_chunk | f93c79c29b397359a7e0e7229b9799cec583e954773e7ccaa2b2c7cb3207e142 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Control
public import LeanPool.LeanQuantumAlg.Core.Components.Kets
... |
4,228 | lean_file_chunk | 30d6b6b9c40b54e1956c643b0bbaa4598fde1040edb94061a3e5a94d2dac5253 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Tensor
public import Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic
/-... |
7,186 | lean_file_chunk | 5b39225be703a97e841f8bfacc8bc3182c91841fb4946813f6df72539e7e4e93 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Gates
public import LeanPool.LeanQuantumAlg.Core.Measurement
public... |
4,472 | lean_file_chunk | cf89b9dcc4f9a0def4638b7466e31016731cc5af034bfe85f18859e5129a866a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Control
public import LeanPool.LeanQuantumAlg.Core.Components.Oracl... |
9,148 | lean_file_chunk | dad2d1bba04aa289ec1b8b457ece79e704d34d0947f0fcdf355aad6dc4a7de2e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Cost
public import LeanPool.LeanQuantumAlg.Core.Gate
public import Mathlib.Ana... |
6,069 | lean_file_chunk | b875ccbbd814c2dc53a5b906ea8515250159e2fe6a746b11ce0426eea92d48cb | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Primitives.QKernel.DiscreteLogConcept
public import Mathlib.Data.Real.Basic
public ... |
6,615 | lean_file_chunk | dca5e6ec0c9db1a95b47e36602e01ed21cde9b31f314c28ad475ba15456029a1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Util.Concentration
public import Mathlib.Analysis.SpecialFunctions.Integrals.Basic
... |
4,218 | lean_file_chunk | 4066ee06e65d73b7357b518d1aaa344ae0941ec4a4e7ddabc190785c93e0b08a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.GroupTheory.SpecificGroups.Cyclic
public import Mathlib.Data.ZMod.Basic
public import Mathlib.Data.... |
9,148 | lean_file_chunk | 04d42197c1a3b9448a149951f00a5de11f81bdaa0a3a54c1bc49203ffbd1fa3a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.LinearAlgebra.Matrix.PosDef
public import Mathlib.Analysis.InnerProductSpace.Basic
public import Ma... |
6,607 | lean_file_chunk | 664e26807e6481b135343d261e0a9e1e1a72be5e79317cd0cfdad521a445c59c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.State
public import LeanPool.LeanQuantumAlg.Core.Tensor
public import Mathlib.... |
21,588 | lean_file_chunk | 559c30198954b6bb7c0829dbe6fe8bc0420d29b849d7384db6010148ebb2cd60 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Util.TrigPolynomial
public import Mathlib.Data.Matrix.Mul
public import Mathlib.Tac... |
1,463 | lean_file_chunk | fe9e695890a65557ec48e0b5a302da7de20fecb784ecb15cfcd66be6f9c3edb0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Primitives.QKernel.Fidelity
public import LeanPool.LeanQuantumAlg.Primitives.QKerne... |
7,916 | lean_file_chunk | 518a88c4eb303cf0263bc970e198aacd149f1d6e705d06ee55d868c1f2128e0e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Gate
public import Mathlib.Algebra.Lie.Matrix
public import Mathlib.Algebra.Li... |
8,397 | lean_file_chunk | 1e961d318d2fea0995e91f62fd211f1fb9e71456343f2bb139e4d83c1813b039 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Primitives.QNN.VarianceFormula
public import Mathlib.Algebra.Lie.Matrix
public impo... |
11,131 | lean_file_chunk | cc9d49e1c91d8618f4ad8cd96330c215e3914899ff517ef46ba37fc1b94b584d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Gate
public import LeanPool.LeanQuantumAlg.Primitives.QNN.DynamicalLieAlgebra
... |
3,980 | lean_file_chunk | bebb80fff8a105970cfb1fc94989702e013aa9b36d6582806cd9bb0119709a75 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.Order.Monotone.Basic
/-!
# Overparametrization of quantum neural networks
A quantum neural networ... |
2,235 | lean_file_chunk | 505755204d28d277fda356f2870f9a19457b505dd7401829f9486afe0650071e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.Data.Real.Basic
public import Mathlib.Algebra.Order.BigOperators.Group.Finset
/-!
# Pauli propagat... |
7,511 | lean_file_chunk | a69121115b714edb173262d943dcb59dd4584c553477307ce8ea52ef936b2434 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.Analysis.SpecificLimits.Basic
public import Mathlib.Analysis.Normed.Group.Basic
/-!
# Trainability... |
17,934 | lean_file_chunk | 89b0de101370db2d6331c3ea75588d599033896dbddb8f370522782972c4236e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Gate
public import LeanPool.LeanQuantumAlg.Primitives.QNN.DynamicalLieAlgebra
... |
1,382 | lean_file_chunk | 98071084f51a5d98dc179408346f02db1391363b00bf30f3d18e727043296119 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Primitives.QNN.DynamicalLieAlgebra
public import LeanPool.LeanQuantumAlg.Primitives... |
23,988 | lean_file_chunk | 46f54ac0886a0baadf7dcde58e989163a57a3b80bd56903c77932e1dd9091c29 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Gates
public import LeanPool.LeanQuantumAlg.Util.Complex
public imp... |
10,146 | lean_file_chunk | 54c944cba4b151579604521a80a4a4909182c0eff05c8f3429efdb248e20410e | lean_source_file | lean_pool_source_file_chunks | (hmat : ∀ x ∈ Set.Icc (-1 : ℝ) 1, qspMat P Q x = qspMat P' Q' x) :
P = P' ∧ Q = Q' := by
constructor
· refine Polynomial.eq_of_infinite_eval_eq P P' ?_
refine (((Set.Icc_infinite (by norm_num : (-1 : ℝ) < 1)).image
Complex.ofReal_injective.injOn).mono ?_)
rintro z ⟨x, hx, rfl⟩
have h := congrA... |
23,996 | lean_file_chunk | 3af92e3ef2e1ad07baa62db3dc1ee4626fe33a7a43a43d0e0324e6992e271417 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Gates
public import LeanPool.LeanQuantumAlg.Util.Complex
public imp... |
23,497 | lean_file_chunk | 85915301c11ca8bc049694981365bc6d622922e4070dc3467e3309e368e46e93 | lean_source_file | lean_pool_source_file_chunks | linear_combination ofReal_sin_sq_add_cos_sq (θ₀ / 2), map_one]
· rw [conjP_C, Complex.conj_ofReal]
· rw [conjP_C, Complex.conj_ofReal]
· rw [qspYZY_nil]
exact rotY_eq_qspMatYZ θ₀ x
| append_singleton θs θ ih =>
obtain ⟨A, B, hpair, hmat⟩ := ih
refine ⟨C ((Real.cos (θ / 2) : ℂ)) *... |
1,791 | lean_file_chunk | 960595bc8f6251241d7edf964e110464d4f0ee7e37889c576156b0324cefe08f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Primitives.QSP.Chebyshev
public import LeanPool.LeanQuantumAlg.Primitives.QSP.Fouri... |
3,333 | lean_file_chunk | 1795a431fa036b8bd91581277d237fc95354eecc0aa723b69ed1b7d29a8e7693 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Primitives.HadamardTest
/-!
# The SWAP test
The SWAP test estimates the overlap `... |
15,717 | lean_file_chunk | 4d785e16002e53946da7e9eb093da1db2b9a49bc3254c8601f63789e1af227ba | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Core.Components.Oracle
public import LeanPool.LeanQuantumAlg.Core.Components.Kets
... |
1,087 | lean_file_chunk | 3259eb19da3ef6b540096e91fa5cfad5474ecfce36d7a2c373f31d5b0c54449b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Primitives.BellPair
public import LeanPool.LeanQuantumAlg.Primitives.WalshHadamard
... |
11,096 | lean_file_chunk | 19a831fa41280b97f307f0893df3230cc9402194aa473a969ec7df7ae057bbd0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.Analysis.SpecialFunctions.Complex.Log
/-!
# Complex exponential and unit-circle helper lemmas (qua... |
4,900 | lean_file_chunk | 67f26d373795d7dbcf93b38321382a05a3a8c6ad8fbc29cf14fc73da42512244 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.Probability.Moments.Variance
public import Mathlib.MeasureTheory.Integral.Bochner.Basic
public impo... |
1,217 | lean_file_chunk | c66cabb48849d3910f61427fd879f31b96c49d346ddcf464f6d62030777cc933 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.Logic.Equiv.Fin.Basic
public import Mathlib.Data.Fin.SuccPred
public import Mathlib.Algebra.Group.N... |
5,177 | lean_file_chunk | 8627cc8b7f908d779ff840dd9bc9e21048a482fadda74ab863d0b9315af77e98 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.LinearAlgebra.Matrix.Kronecker
public import Mathlib.LinearAlgebra.Matrix.Trace
public import Mathl... |
10,971 | lean_file_chunk | 634abb7a528338f68093cf72583286d45d6fa15b4738779d82e311934a68dc8c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.Algebra.Polynomial.Degree.Lemmas
public import Mathlib.Algebra.Polynomial.Roots
public import Mathl... |
17,995 | lean_file_chunk | 91b5899b43c38bb7a91bf9288ef34fac69b6ceb3cdcfff8c5f655746d97439c9 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import Mathlib.Analysis.SpecialFunctions.Complex.Circle
public import Mathlib.Analysis.SpecialFunctions.Trigonomet... |
643 | lean_file_chunk | 322d3a33baea35b47568079289f590a70dbf8e305f9681906f92f0132f91d438 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Util.Complex
public import LeanPool.LeanQuantumAlg.Util.Polynomial
public import Le... |
768 | lean_file_chunk | 886e5c2200a553a848cb5939bc6658867582f68b8323d2fbaaf452c474ada543 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 QudeLeap. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: QudeLeap Team
-/
module
public import LeanPool.LeanQuantumAlg.Init
public import LeanPool.LeanQuantumAlg.Util
public import LeanPool.LeanQuantumAlg.Core
public import LeanPool.LeanQuantumA... |
4,060 | lean_file_chunk | b4ce53072e10667011e22d4f4c6a8c5eb73a58a8c135d028cb650e00f090f077 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.API
/-!
# Minimal use of the public monotonicity API
This file is intentionally small: it checks that an extern... |
3,148 | lean_file_chunk | b59136b3e3403f4152655849f1b0611337f866c2a611e9ee726518f85942d047 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.MainTheorem
/-!
# Using the main theorem directly
This example imports only `MainTheorem.lean`. A caller suppl... |
4,095 | lean_file_chunk | 75208271e517cecf38a38b96840358dfe6c59914a37ecc6b17633aa3a275c980 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.Euclidean
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.MainTheorem
/-!
# Public API for stat... |
15,723 | lean_file_chunk | 3354bc9ded1bb55ad00ac97ec475c2d4fb6361310c12e698b380726fc0775c51 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadiusWeightedDerivative
/-!
# Ball integral absolute continuity
This module contains thin-shell estimates and ... |
2,682 | lean_file_chunk | 944c80c3840fc219ef9b7c9526ae4410e80e07bade4be59883c84479895b9e5c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import Mathlib.Analysis.InnerProductSpace.PiL2
import Mathlib.MeasureTheory.Measure.Haar.InnerProductSpace
import Mathlib.MeasureTheory.VectorMeasure.WithDensity
/-!
# Basic def... |
23,996 | lean_file_chunk | e27e1d3631eff490468333d7143be94cc958ddf4848b86bdeee48191d55d828a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import Mathlib.Analysis.Distribution.AEEqOfIntegralContDiff
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadiusWeights
import LeanPool.LeanStationaryHarmonicM... |
3,124 | lean_file_chunk | 74ba2a02ab763259cb24418be603c076085da8576a21941c7da1ebfe6894414e | lean_source_file | lean_pool_source_file_chunks | =
2 * ∫ x in Metric.ball (0 : Domain n) R0,
weakRadialRhsIntegrand Du phi x :=
hrad phi hphi_diff hphi_cont hphi_compact hphi_support
rw [← hmain, hspace, hrhs]
/-- Restricted radius-integration formulas plus the scalar-cutoff radial
stationarity identity give the one-dimensional radius identity.... |
23,998 | lean_file_chunk | 06576fcc53ca2077651e29fe2ed1969a7e1f78b1b18e4a88f566e0971e8232de | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadiusFormulas
/-!
# Boundary identity from radial stationarity
This module turns one-dimensional cutoff, coare... |
15,222 | lean_file_chunk | fe97db40f4a4dceef6fefb2838dfc020a50e41802262ec42e203901ddb3b781b | lean_source_file | lean_pool_source_file_chunks | (fun rho : ℝ => weakSharpCutoffDefect Du (0 : Domain n) rho)
(Ioo (0 : ℝ) R0) volume)
(hibp_formula : WeakOneDimensionalIBPFormula Du R0)
(hprimitive : WeakOneDimensionalPrimitiveTestFamily Du R0) :
WeakBoundaryIdentity Du (0 : Domain n) R0 := by
exact weak_boundary_identity_from_radial_identity_v... |
23,928 | lean_file_chunk | 7fad33c83972c53a82cc58b5c59bc14ca9be3f4ead0564906ce0bee09c01098d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.MonotonicityEuclidean
/-!
# Center translations
This module starts the passage from the origin-centered theorem... |
1,860 | lean_file_chunk | 73e5f2d93a4dd5a2843a9ee9ea15c277fed931215dce912016dcde95a15eff30 | lean_source_file | lean_pool_source_file_chunks | 2 * ∫ x in Metric.ball (0 : Domain n) r \ Metric.ball (0 : Domain n) s,
‖x‖ ^ (2 - (n : ℤ)) *
weakRadialEnergyDensity Du a (a + x) := by
simp [weakMonotonicityRhs, weakRadialEnergyDensity_translateGradient_zero]
_ =
2 * ∫ x in e ⁻¹' ann,
‖a + x - a‖ ^ (2 - (n : ℤ)) *
... |
12,050 | lean_file_chunk | b848461e861e2f2b467041d8c7cff61a4b5f0464e2121872a5c8b38b546da3da | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import Mathlib.MeasureTheory.Function.AbsolutelyContinuous
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.WeakStationarity
/-!
# Energy Quantities
-/
noncompu... |
2,083 | lean_file_chunk | e249ec7bd587ecfd022d692b69ba0dea14de428ed05d4baa39b3ab00ba2ead7f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import Mathlib.MeasureTheory.Measure.Lebesgue.VolumeOfBalls
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.Basic
/-!
# Euclidean coordinate interface
This fil... |
1,839 | lean_file_chunk | 5a0c14abbd84cdec5d41b0ee2491d9dee60fb07eb33a3e38fbcdce65b3ecffce | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.WeakGradientBridge
/-!
# First-variation bridge
This module gives the domain-variation stationarity identity a ... |
5,587 | lean_file_chunk | 6e97fcdc2015adec1ea9176077cfc97ede830e31c663d7a087d8847a25f3dfc7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.WeakStationarity
/-!
# Local `L²` bridge
This module isolates the measure-theoretic `L²_loc` input used by the ... |
2,512 | lean_file_chunk | d6f2762622d66d3d653b74fa93eaf3a4f5de763ff6f55a76f48aa39243cf61f1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.StationaryMap
/-!
# Main monotonicity theorem
This file exports the witness-style public theorem. All radial, ... |
6,800 | lean_file_chunk | 1ddb0d3c3e9d15fa4925b38bd40985caae9925fde62736f5d52083d143302f48 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.CenterTranslation
/-!
# Stationary Sobolev map monotonicity
This file records the original weak-map monotonicit... |
23,974 | lean_file_chunk | 7ba74232ae6f005d54300f997c4c6d2b7be23fea5883ce1fe45c666f0a00988f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.MonotonicityRoutes
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.RadiusWeightedRepresentation
... |
2,675 | lean_file_chunk | d5f4f42c50dd50e10e0ae2a980f73ad1ca9ef61b2b799416c809850dd4303848 | lean_source_file | lean_pool_source_file_chunks | (n := n) (m := m) (Du := Du)
(Ω := Ω) (Ω' := Metric.ball (0 : Domain n) R0)
hmap.2 hΩ_meas hball_subset
have hcalc : WeakBallEnergyOneDimensionalCalculus Du R0 :=
weakBallEnergyOneDimensionalCalculus_of_radiusIntegralForWeights_W12LocIn_radialShellsVolume
(n := n) (m := m) (u := u) (Du := Du) (Ω... |
17,877 | lean_file_chunk | c2c040a9da77ee9cd1120f952d340c93912d494647d8a7736d9442553ea6bb4e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.BoundaryFromRadial
/-!
# Final monotonicity increment
This module contains the final radius integration step an... |
23,970 | lean_file_chunk | 37183a33551a711915d08cca4069c99d711b176eb8eefd475ca3fda5239c1bb8 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Wei Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wei Wang
-/
import LeanPool.LeanStationaryHarmonicMaps.StationaryHarmonicMap.MonotonicityFinal
/-!
# Packaged monotonicity routes
This module contains the main packaged weak monotonicity r... |
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