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 |
|---|---|---|---|---|---|
13,980 | lean_file_chunk | 0818453120f34c6cbedff3e438e70ede86e5da2eb96009d321c1e84e964feb50 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.FlavorPhysics.CKMMatrix.Relations
/-!
# Phase freedom of the CKM Matrix
The CKM matrix is only defined up to an equiv... |
14,709 | lean_file_chunk | a162506192438b25b37a5c3c9ed35302afee883f1d8d3f82d005ad06c1d51370 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.FlavorPhysics.CKMMatrix.Rows
/-!
# Relations for the CKM Matrix
This file contains a collection of relations and prop... |
15,520 | lean_file_chunk | 6474ed27e4fbc46b4535269e795c472b466588fa42fc82ccb29e28bdbf161ea8 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.FlavorPhysics.CKMMatrix.Basic
public import Mathlib.Analysis.SpecialFunctions.Complex.Arg
public import Mathlib.Linear... |
6,412 | lean_file_chunk | 7d958b5fc02645920ce101ce3012f6b6c9fc85af90fa13f4800f16204a1bff9c | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.FlavorPhysics.CKMMatrix.Rows
public import Physlib.Particles.FlavorPhysics.CKMMatrix.Invariants
/-!
# Standard paramet... |
23,930 | lean_file_chunk | 064c46361840c82c7098ee4100df375acaaab64c8237b7348cb4eea3a0ffeee2 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.FlavorPhysics.CKMMatrix.PhaseFreedom
public import Physlib.Particles.FlavorPhysics.CKMMatrix.StandardParameterization.... |
1,626 | lean_file_chunk | c939934fbd6f7667a49628f3b54f0a5473c575037396c150d5e8c03b4ed30945 | lean_source_file | physlib_source_file_chunks | have ⟨U2, hU2⟩ := ubOnePhaseCond_hold_up_to_equiv_of_ub_one haU hU.2
have hUVa2 : V ≈ U2 := phaseShiftRelation_equiv.trans hU.1 hU2.1
have hUV2 : ⟦U2⟧ = ⟦V⟧ := (Quotient.eq.mpr (phaseShiftRelation_equiv.symm hUVa2))
have hx := eq_standParam_of_ubOnePhaseCond hU2.2
use 0
rw [← hUV2, ← hx]
exact h... |
4,247 | lean_file_chunk | 68e0a26337c7ff2898e5b4487cd994ba26e8d8c46538a6fa83b3807fd516c3b3 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Prabhoda Chandra Sarjapur. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Prabhoda Chandra Sarjapur
-/
module
public import Mathlib.LinearAlgebra.UnitaryGroup
public import Mathlib.Analysis.Complex.Exponential
/-!
# The PMNS matrix
The definiti... |
9,875 | lean_file_chunk | 90acf41702124c0e136fe25bc1dd620fa3fcad94e2fed568b1eb204e3d7a1b18 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.AnomalyCancellation.Basic
public import Mathlib.Tactic.LinearCombination
/-!
# Anomaly cancellation conditions for the n-fam... |
3,259 | lean_file_chunk | 589fdfe86f6eb0be4e05ac4c073bf2d68bab419a5d58a2a27c0b9fe982e03ac4 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.StandardModel.AnomalyCancellation.Basic
/-!
# Family maps for the Standard Model ACCs
We define the a series of maps ... |
3,178 | lean_file_chunk | dcc6cd7eff2703753c26dc81885f0ac0e37a8cbf6043a07a36de41d306d1f04c | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.StandardModel.AnomalyCancellation.Basic
/-!
# Anomaly Cancellation in the Standard Model without Gravity
This file de... |
2,698 | lean_file_chunk | b5258165c3ed8a41b9d82dfaac8bd621265d41a5bd38dd999cc04de47bdb6e39 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.StandardModel.AnomalyCancellation.NoGrav.One.LinearParameterization
/-!
# Lemmas for 1 family SM Accs
The main result... |
13,204 | lean_file_chunk | 720b7abf851a3289dc75ad5346fa68d2b14270ec9e5e637db6708b4b7657286e | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.StandardModel.AnomalyCancellation.NoGrav.Basic
public import Mathlib.NumberTheory.FLT.Three
/-!
# Parameterizations fo... |
4,013 | lean_file_chunk | d99f20284e2510716c957e7c91e67a50de2b459e504031cc0de69bb69dba40ab | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.StandardModel.AnomalyCancellation.Basic
public import Mathlib.RepresentationTheory.Basic
/-!
# Permutations of SM wit... |
23,962 | lean_file_chunk | 92462777af0d74c74108a86801eb43665793156360087f39e2ceae51ed552ce4 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nikolai Kashcheev, Joseph Tooby-Smith
-/
module
public import Physlib.SpaceAndTime.SpaceTime.Basic
public import Physlib.Meta.Linters.Sorry
public import Mathlib.RingTheory.RootsO... |
330 | lean_file_chunk | d0e18c15cbd01e6b3697c08bf95721a11c61d55dfafc5bb1f6a8942b0dac8736 | lean_source_file | physlib_source_file_chunks | /-- The trivial principal bundle over SpaceTime with structure group `GaugeGroupI`. -/
informal_definition gaugeBundleI where
deps := [``GaugeGroupI, ``SpaceTime]
tag := "6V2HX"
/-- A global section of `gaugeBundleI`. -/
informal_definition gaugeTransformI where
deps := [``gaugeBundleI]
tag := "6V2H5"
end Sta... |
10,964 | lean_file_chunk | 8fc91a7057bb0f1996df59fcf956f2438e7dab6f130267674b3d23604a18931e | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Nathaneal Sajan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaneal Sajan
-/
module
public import Physlib.Particles.StandardModel.Basic
public import Physlib.Relativity.Tensors.ComplexTensor.Basic
/-!
# Down-type singlets
## i. Overview
T... |
11,293 | lean_file_chunk | fc079acbb2be2d4a75834504b37448487ea84e8e5c51e3743e6b43c0ddc16d5d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Nathaneal Sajan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaneal Sajan
-/
module
public import Physlib.Particles.StandardModel.Basic
public import Physlib.Relativity.Tensors.ComplexTensor.Basic
/-!
# Lepton doublets
## i. Overview
The ... |
8,053 | lean_file_chunk | aa9b14b2e3a3da8ce79db93fdb13bb5d0fbdebab762201246e52757ed198d15d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Nathaneal Sajan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaneal Sajan
-/
module
public import Physlib.Particles.StandardModel.Basic
public import Physlib.Relativity.Tensors.ComplexTensor.Basic
/-!
# Charged-lepton singlets
## i. Overvi... |
9,873 | lean_file_chunk | 2ef55193b774e1342e3e1998a646bc85417207694467e35f46e8c54e29efa22d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.StandardModel.Basic
public import Physlib.Relativity.Fermions.Weyl.LeftHanded
public import Physlib.Relativity.Fermion... |
8,141 | lean_file_chunk | 64086c6670b830e8c1e365e95b706a6208eeadda4f8b2d6c742d35085adc11cd | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.StandardModel.Basic
public import Physlib.Relativity.Tensors.ComplexTensor.Basic
/-!
# Up-type singlets
In this modul... |
23,980 | lean_file_chunk | 4096e386477304db071c6cdb5cfd196808653f501a35103a4445747cb7961fff | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.StandardModel.Basic
public import Mathlib.Geometry.Manifold.VectorBundle.ContMDiffSection
/-!
# The Higgs field
## i... |
9,185 | lean_file_chunk | daaf8eab2a55c3409bfb8968f6917b0181b31b055431e090b39ff7bb2004efd2 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.StandardModel.HiggsBoson.Basic
public import Mathlib.RingTheory.MvPolynomial.Homogeneous
/-!
# The effective potential... |
15,870 | lean_file_chunk | 6c911f1f7100abf71d1ae8e6a8dba738d8014f9f44610ccf6f28694a0623d641 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.StandardModel.HiggsBoson.Basic
public import Mathlib.RingTheory.MvPolynomial.Homogeneous
/-!
# The potential of the Hi... |
2,348 | lean_file_chunk | 502fbf5b3632ff0d318b9fb865e95ebf0a5d19c2c0b575b7fc60bebc7a989958 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Complex.Basic
public import Mathlib.LinearAlgebra.UnitaryGroup
public import Physlib.Meta.TODO.Basic
/-!
# Representati... |
2,437 | lean_file_chunk | 3a5ae86f8f13f81669854716c3591ca347aa7061c1880ee3d8d0600e409cd1d1 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.MSSMNu.AnomalyCancellation.Basic
public import Mathlib.Tactic.LinearCombination
/-!
# The definition of ... |
15,867 | lean_file_chunk | 6ff74a0af5e47a6b326bf073e41e021ee7d11ad80bcb0cff6368be2f25a964ef | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.AnomalyCancellation.Basic
/-!
# The MSSM with 3 families and RHNs
We define the system of ACCs for the MSSM with 3 families... |
1,233 | lean_file_chunk | d6c3763779dbe722a25458332c6b900e1f1b462ba6d1c0dc4b0bf2c77ff8a338 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.MSSMNu.AnomalyCancellation.Basic
/-!
# Hypercharge in MSSM.
Relevant definitions for the MSSM hyperchar... |
3,990 | lean_file_chunk | bdb3a09938a9302d70ba44aeb3fae0d54435147f4abc116f198d0c24ac064602 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.MSSMNu.AnomalyCancellation.Y3
public import Physlib.Particles.SuperSymmetry.MSSMNu.AnomalyCancellation.B... |
7,605 | lean_file_chunk | 64d3387adc25e2b7a0ec6955f8ae1836bf492830917de14de563111c4a864421 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.MSSMNu.AnomalyCancellation.LineY3B3
/-!
# The type of solutions perpendicular to `Y₃` and `B₃`
We defin... |
8,486 | lean_file_chunk | 5dd92a1f7f002142f50f93af0efebeff2a3aea680e0149ab3fda227fcb81c57f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.MSSMNu.AnomalyCancellation.OrthogY3B3.Basic
/-!
# Plane Y₃ B₃ and an orthogonal third point
The plane s... |
18,359 | lean_file_chunk | c15c0e796da4d78bdd0b1ef26b0ae41d4ef2f7bb4fa8d61f38e318de86dcc55f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.MSSMNu.AnomalyCancellation.OrthogY3B3.PlaneWithY3B3
/-!
# From charges perpendicular to `Y₃` and `B₃` to... |
4,378 | lean_file_chunk | f7a073f04df03ec7b9af02964193290fae3ab579ddccd6966d55bda1b82d8f5c | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.MSSMNu.AnomalyCancellation.Basic
public import Mathlib.RepresentationTheory.Basic
/-!
# Permutations of ... |
2,393 | lean_file_chunk | c07c8e05946a40ff4b6e1619e11a68029ea22232be1abed061b6bf886373e558 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.MSSMNu.AnomalyCancellation.Basic
public import Mathlib.Tactic.LinearCombination
/-!
# The definition of ... |
23,034 | lean_file_chunk | d97e3aee655337886bdc2a555a63bf27fc14d2c9c5e7c2c98559e4b94fa6ca56 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Andrea Pari. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrea Pari
-/
module
public import Mathlib.Data.Complex.Basic
public import Physlib.Relativity.Tensors.Conjugation.Basic
/-!
# SUSY N=1 chiral sector: index, configuration, and conjug... |
23,983 | lean_file_chunk | 03a57d7a867d19670bc2949256cae2c615af631c14db543fb92127cdc84dec5f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.OfPotentialTerm
/-!
# Charges allowing terms
## i. Overview
To each charge spectru... |
8,702 | lean_file_chunk | eed50e394d1b6a38bc277c0c759a917784d49c78cadf78b99e4bc323df546a38 | lean_source_file | physlib_source_file_chunks | | .Λ => (0 : 𝓩) ∈ (x.Q5.product x.Q5).val.map (fun (y, z) => y + z + q10)
| .W4 => false
| .K1 => (0 : 𝓩) ∈ (x.Q5.product (insert q10 x.Q10)).val.map (fun (q5, q2) => -q5 + q2+ q10)
| .W1 => (0 : 𝓩) ∈ (x.Q5.product ((insert q10 x.Q10).product (insert q10 x.Q10))).val.map
(fun (q5, q2, q3) => q5 + q2 + q3 +... |
13,453 | lean_file_chunk | bbc4bf1f487bb0466038d1a70b77d4b6adfb3745b57060237d39c0d2628eca20 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Data.Finset.Powerset
public import Mathlib.Data.Finset.Prod
public import Mathlib.Data.Finset.Sort
public import Mathlib.Data.Fi... |
13,132 | lean_file_chunk | fbb3258a6b7138ccd8113ad37b7637569eb95bd5db122ffed41113de64f95f0e | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.MinimallyAllowsTerm.OfFinset
/-!
# Completions of charges
## i. Overview
Recall th... |
17,031 | lean_file_chunk | 4048260e2c190fbdd6d83f54076e41447f758419ef371f1046ed9ffcb188d550 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.Yukawa
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.Completions
p... |
15,821 | lean_file_chunk | 2735f6f8bf235fe98e170d028f27c0e2447de4fe8ff4222737aad8ee6755a6eb | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.Completions
/-!
# Minimal super set
## i. Overview
The minimally super set of a spe... |
10,084 | lean_file_chunk | 1fecca1a7e7e97eba11f9cf0d00724e0a1cf70b8a654f3430204d35df43a9b4c | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.AllowsTerm
/-!
# Charge spectrum which minimally allows terms
## i. Overview
We ca... |
6,933 | lean_file_chunk | bac250f2db0036eefc4b3b1e1646d93a51c87fbeefeaddf113fae591b63f4c1f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Tactic.FinCases
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.MinimallyAllowsTerm.Basic
/-!
# Minimally allo... |
19,728 | lean_file_chunk | edf4b822f91345004f02f7d767888e4744eac392e5dab6478aa7772041b4063d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.MinimallyAllowsTerm.Basic
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpe... |
4,641 | lean_file_chunk | 487c7480fba7d6c42ade03c730f541e63e0fc668fbc075c018bab714cdcc5ecf | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.Basic
public import Physlib.Particles.SuperSymmetry.SU5.FieldLabels
/-!
# Charges as... |
14,419 | lean_file_chunk | 484806bd0b03e66c9cdf590acd26e75dd926b1af78d9c044eec895491a83a797 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.OfFieldLabel
public import Physlib.Particles.SuperSymmetry.SU5.Potential
public impor... |
16,299 | lean_file_chunk | ca9fdef2feaf4a2ddb259b658ddbb48598511670468a8fbacc7206be70ccec5d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.Yukawa
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.MinimalSuperS... |
9,634 | lean_file_chunk | 11ac2a8835912827f9e35abedc91c42b3addd898b8d476150cf2ca33067d8cb9 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.AllowsTerm
/-!
# Pheno constrained charge spectra
## i. Overview
We define a predi... |
8,793 | lean_file_chunk | 06c525936f0becf455d29f3a524f2168d4b3ddb77fb020bdb6b4af21ba3576c2 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.PhenoConstrained
/-!
# Yukawa charges
## i. Overview
In this module we look at the... |
5,662 | lean_file_chunk | 0620652c7b9eec72b004ba25b14bf9ea35b55abfbedff1185ebfccd470d771af | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
meta import Mathlib.Data.ZMod.Defs
meta import Physlib.Particles.SuperSymmetry.SU5.ChargeSpectrum.Yukawa
meta import Physlib.Particles.SuperSymmetry.S... |
1,796 | lean_file_chunk | e1c16d836f8d90a2d78dd2d5fa3dab0804bc3fd5a9225932b5c38352f2b7cc75 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Tactic.DeriveFintype
/-!
# The field labels
## i. Overview
To each field and it's conjugate in the `SU(5)` SUSY GUT we assign... |
7,108 | lean_file_chunk | 3af26184a12fcd8bd4e993ee8b0154c8686eee2e5370ba8069c848f5f60ac706 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Particles.SuperSymmetry.SU5.FieldLabels
/-!
# Potential of the SU(5) + U(1) GUT
## i. Overview
In this module we will write d... |
18,851 | lean_file_chunk | 45ca07991d60774d88750004081e3b729cfadc8daefba3ed16a6cefb867959d9 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Mathematics.LinearMaps
public import Mathlib.LinearAlgebra.FiniteDimensional.Defs
public import Mathlib.Tactic.Cases
/-!
# Anoma... |
5,350 | lean_file_chunk | 216afae55c0e4f49922d4c22ebb184daf12be76732174ded7e0e55dbd464ae46 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.AnomalyCancellation.Basic
public import Mathlib.RepresentationTheory.Basic
/-!
# Group actions on ACC systems.
We define a ... |
2,398 | lean_file_chunk | 9aa60518f5007b1feb6736f39ec9472f9d3f6ad54c775f02dccde9c44d6dee80 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Algebra.BigOperators.Group.Finset.Basic
public import Mathlib.Data.Fintype.Card
/-!
# Creation and annihilation parts of fields... |
735 | lean_file_chunk | 0ef7b3d2352b4468a1052cfefbf1d91bb7f69a93f4d08d057c8b50f8e3ff1e0c | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
/-!
# Feynman diagrams
Feynman diagrams form a type into which permissible Wick contractions
embed.
A permissible Wick contraction is one which does... |
10,252 | lean_file_chunk | 4f97d0eb91793f23e5c74dedd33fe00ef816c8f4034a67dcc03d2577ae46de0d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldSpecification.CrAnSection
/-!
# Creation and annihilation free-algebra
This module defines the cre... |
15,124 | lean_file_chunk | faf420101a499d471c818cc4441ca124603b31e75cceb9b698789d63289665a0 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldOpFreeAlgebra.Basic
public import Mathlib.RingTheory.GradedAlgebra.Basic
/-!
# Grading on the Field... |
1,219 | lean_file_chunk | e69b663461b40cd958e9ed02034e49083293b76555921723d71fc746dcbef6ed | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldSpecification.TimeOrder
public import Physlib.QFT.PerturbationTheory.FieldOpFreeAlgebra.Basic
/-!
#... |
22,132 | lean_file_chunk | ba5671b2ef3eba1a2fc6bee675af3abfe9a150549e62606079d5612b4704fc3b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldSpecification.NormalOrder
public import Physlib.QFT.PerturbationTheory.FieldOpFreeAlgebra.SuperCommu... |
23,992 | lean_file_chunk | 067cfa40eeafd43132e380c5dd7bfcdb7ed4e229d806a01c268ea7078f3f3ccc | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldOpFreeAlgebra.Grading
public import Physlib.QFT.PerturbationTheory.FieldStatistics.ExchangeSign
/-!
... |
8,743 | lean_file_chunk | cb4e633293fd122486ed34eb05ed748f79034b09c83d14e610a35d0b2918f7b0 | lean_source_file | physlib_source_file_chunks | rw [← bosonicProjF_add_fermionicProjF a]
simp only [map_add, LinearMap.add_apply]
rw [superCommuteF_bosonic_bosonic (by simp) hb, superCommuteF_fermionic_bonsonic (by simp) hb]
simp only [add_mul, mul_add]
abel
lemma bosonic_superCommuteF {a b : 𝓕.FieldOpFreeAlgebra} (ha : a ∈ statisticSubmodule bosonic) :
... |
16,417 | lean_file_chunk | 5343b258c245a15d510da2260ce074ee1897bcf2cbb72653766d24745738ef8f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldSpecification.TimeOrder
public import Physlib.QFT.PerturbationTheory.FieldOpFreeAlgebra.SuperCommute... |
6,661 | lean_file_chunk | 2b4de187ebf52f55885920ba39d74a6b7dd460fc9a2be2bcebca9e3816fd8f39 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.SpaceAndTime.SpaceTime.Basic
public import Physlib.Units.WithDim.Momentum
public import Physlib.QFT.PerturbationTheory.FieldStat... |
6,568 | lean_file_chunk | a76cd7ba4d867ee30ab903e9a0ee72d0fac986171c22aba36669ff19d58029eb | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldSpecification.Basic
public import Physlib.QFT.PerturbationTheory.CreateAnnihilate
/-!
# Creation an... |
16,776 | lean_file_chunk | b0b0f71a1c544261f1eb7e1855ef46860086ce6be5b3fb7f613e5f109ee496f1 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldSpecification.CrAnFieldOp
public import Physlib.Mathematics.List
/-!
# Creation and annihilation se... |
3,200 | lean_file_chunk | d660ba4452e1d49d3adc94634f9b14c1b0217eac2a1bc246894880c8d818f84d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldSpecification.CrAnFieldOp
/-!
# Filters of lists of CrAnFieldOp
-/
@[expose] public section
name... |
18,689 | lean_file_chunk | 74f6564fcb46fa179ff7f2d9208cf74430e55f7306ef4bc08f0e29f26840b611 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldSpecification.Filters
public import Physlib.QFT.PerturbationTheory.Koszul.KoszulSign
import all Math... |
19,905 | lean_file_chunk | 6e0c86a52a4d99a74c45d3f0b754be7d5680e56bf8c7d9737435e24688fe3efb | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldSpecification.CrAnSection
public import Physlib.QFT.PerturbationTheory.FieldSpecification.NormalOrde... |
10,777 | lean_file_chunk | d462118472c5a3bb24a0f4a1919c90c9cdd78b8a5874f9085e199f63898ff48b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Mathematics.List.InsertIdx
public import Mathlib.Tactic.FinCases
public import Mathlib.Algebra.BigOperators.Group.Finset.Piecewi... |
3,370 | lean_file_chunk | 48d9499d14924c8674962201af72ccb6c127283ecd6a65bd17a0bff5073653d5 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldStatistics.Basic
public import Mathlib.Analysis.Complex.Basic
/-!
# Exchange sign for field statist... |
4,702 | lean_file_chunk | 207e5d651a2f1e92cd545f1e65e794f5bc9aade42ea3128de577e2029a6173f7 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldStatistics.Basic
public import Mathlib.Data.Finset.Sort
/-!
# Field statistics of a finite set.
-/... |
16,794 | lean_file_chunk | 10346b2259e0d5d9aa6cca935193feb3e4d5fab94a607abd7bf70d3fc8d2dfd0 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.Koszul.KoszulSignInsert
public import Physlib.Mathematics.List.InsertionSort
import all Physlib.Mathematic... |
11,237 | lean_file_chunk | 4e0e57550fb0c5c39a188e7e3f6bb90de5dbf1bdae2034a7356d550e3681cb5f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldStatistics.ExchangeSign
public import Physlib.Mathematics.List
import all Mathlib.Data.List.Sort
/-!
... |
20,077 | lean_file_chunk | 818697cfe5d95f830b2aa965df7f363f7ce20f4d61ac628ce950e3708c27a3cd | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldOpFreeAlgebra.SuperCommute
public import Mathlib.Algebra.RingQuot
public import Mathlib.RingTheory.T... |
15,856 | lean_file_chunk | 2e490bff17da3f37c7cf4945a59a8936014bd1d8ab6fc5068136c73d6da7d988 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.Basic
/-!
# Grading on the field operation algebra
-/
@[expose] public section
namespace ... |
9,529 | lean_file_chunk | 1051102712a4f3d8fda1861b1236e419003b14ec6a5160000880f239671be5df | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldOpFreeAlgebra.NormalOrder
public import Physlib.QFT.PerturbationTheory.WickAlgebra.Basic
/-!
# Norm... |
16,537 | lean_file_chunk | c3346e3873e0886309246b0c47047b0bbb154561dd53c40a272e9a21be289fc1 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.NormalOrder.Basic
public import Physlib.QFT.PerturbationTheory.WickAlgebra.SuperCommute
/-!
... |
3,939 | lean_file_chunk | 110ce6e268fba0511139a592825f66710e13302d6e8376966cabb4e79f363626 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.NormalOrder.Lemmas
public import Physlib.QFT.PerturbationTheory.WickContraction.InsertAndCont... |
6,487 | lean_file_chunk | 2a8e690eedcfb9907bbd7a970e657aa48debad8a07f9cb483ce8732cf188fba4 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.NormalOrder.WickContractions
public import Physlib.QFT.PerturbationTheory.WickContraction.Sig... |
2,219 | lean_file_chunk | f17c9fca9b3fead56961786af1ad348f2cf1777890ca9732daac55d1d257b94b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.StaticWickTerm
/-!
# Static Wick's theorem
-/
@[expose] public section
namespace FieldSpe... |
15,965 | lean_file_chunk | 72366f0d8fc95b7f64b5295da76f3aa5c57df7f550cbfa8989f3fc5d3cedd38d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.Basic
/-!
# SuperCommute on Field operator algebra
-/
@[expose] public section
namespace ... |
7,762 | lean_file_chunk | f0f0a1748c0d4b12650232d20c6d0da91b553c9aeeb4b9e01398c898396d331a | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.NormalOrder.Lemmas
public import Physlib.QFT.PerturbationTheory.WickAlgebra.TimeOrder
/-!
# ... |
22,298 | lean_file_chunk | 47c07ca4721b5c0d5afeb34cb2b77f228307d91c3856443c548d91da5756d167 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.SuperCommute
public import Physlib.QFT.PerturbationTheory.FieldOpFreeAlgebra.TimeOrder
/-!
#... |
3,646 | lean_file_chunk | e59508c323136b18b6acaaf65340a3545e648b8cbbc080142eed4e0a56520b7a | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.Basic
/-!
# Universality properties of WickAlgebra
-/
@[expose] public section
namespace ... |
9,678 | lean_file_chunk | 40b43738d2bed826ab290ef96c5051634fd41cf0eb53959c961c9dd238f58cb7 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Sign.InsertNone
public import Physlib.QFT.PerturbationTheory.WickContraction.Sign.InsertS... |
3,415 | lean_file_chunk | 59d73dc5d84dd01f0cfa53a3d0292426853c8d6b50feb0beceb95689c6d19d25 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.WickTerm
/-!
# Wick's theorem
This file constrains the time-dependent version of Wick's the... |
10,196 | lean_file_chunk | 732de7a5902252a301bc5b57166d08f65f9516fa0b6da1f79a053ffeb8183d16 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.StaticWickTheorem
public import Physlib.QFT.PerturbationTheory.WickAlgebra.WicksTheorem
publi... |
16,356 | lean_file_chunk | 87249c6190dca2b511807fc883f316bb760da261e93432a537e9c9f65702190d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.FieldSpecification.Basic
/-!
# Wick contractions
-/
@[expose] public section
open FieldSpecification
... |
9,917 | lean_file_chunk | 85fcdf5e9c188291483d995c4ba98a9428aef85996eee9ddfc7d720b42afcb4f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.ExtractEquiv
/-!
# Cardinality of Wick contractions
-/
@[expose] public section
open M... |
5,892 | lean_file_chunk | 5c6925f0226e73b3f5f612a58a1e1e3cdd65e76c97fb36fbd7078901dfa74557 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Uncontracted
public import Physlib.Mathematics.Fin
/-!
# Erasing an element from a contr... |
5,301 | lean_file_chunk | fe4016a3bf7b86a55810d88645723bab88debf053ca2aec50fbcf98b742f725b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
meta import Physlib.QFT.PerturbationTheory.WickContraction.InsertAndContractNat
public import Physlib.QFT.PerturbationTheory.WickContraction.InsertAnd... |
17,760 | lean_file_chunk | a6840855bd7e037d3e15b8700c08d1392807a997dae2a0e57c58678a4a2d3d9f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.UncontractedList
/-!
# Inserting an element into a contraction based on a list
-/
@[ex... |
22,330 | lean_file_chunk | 474bcdd7c02ea9f400324ece5c3e7bb6291857a467844e52fd00d09e0217a943 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Erase
/-!
# Inserting an element into a contraction
-/
@[expose] public section
open ... |
5,365 | lean_file_chunk | d9127b9428ed6e75d69ae9afd78dd7e2c70c036ed6327f178f8226e031441ec3 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Basic
/-!
# Involution associated with a contraction
-/
@[expose] public section
open... |
2,391 | lean_file_chunk | 3b118a215ce58b5f7c3e534b8086e6c66ea1f55953601eb0f3c8f54d5f5a48bb | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Mathematics.Fin.Involutions
public import Physlib.QFT.PerturbationTheory.WickContraction.ExtractEquiv
public import Physlib.QFT.... |
23,920 | lean_file_chunk | dc559d183957f82fa1bd650a024b1efe705f68574b6ede2e7b259e64022c4ee6 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Singleton
/-!
# Join of contractions
-/
@[expose] public section
open FieldSpecificat... |
726 | lean_file_chunk | 7718a6ee6d0ec423e4455000605fbdb3a840b73046955c6ef07a791ab61fc488 | lean_source_file | physlib_source_file_chunks | have h1 := subContraction_card_plus_quotContraction_card_eq _ {a} (by simpa using ha)
simp only [subContraction, Finset.card_singleton] at h1
omega
lemma join_not_gradingCompliant_of_left_not_gradingCompliant {φs : List 𝓕.FieldOp}
(φsΛ : WickContraction φs.length) (φsucΛ : WickContraction [φsΛ]ᵘᶜ.leng... |
2,260 | lean_file_chunk | 95de0403b1d02947aa8e5899c99743709075e5afe25f5de3c568113264923faa | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Basic
public import Physlib.QFT.PerturbationTheory.FieldStatistics.ExchangeSign
/-!
# Si... |
11,158 | lean_file_chunk | 882b3f54abdff9d2ad4ee0d2ddd9267c874717aa4dd5f216b6dc655f770025b4 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Sign.Basic
public import Physlib.QFT.PerturbationTheory.WickContraction.InsertAndContract... |
23,982 | lean_file_chunk | 785db2e8f3bb3d6a3eaa50d9153eac68cd60afc8b022bc756aea8c95ea55cc88 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Sign.Basic
public import Physlib.QFT.PerturbationTheory.WickContraction.InsertAndContract... |
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