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 |
|---|---|---|---|---|---|
1,716 | lean_file_chunk | 59f834e042493b6ad1f000e47f84090263c8e2c97cfd48d5db3cf80e4fa241bf | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Florian Wiesner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Florian Wiesner
-/
module
public import Physlib.FluidDynamics.FluidFlow.Basic
public import Physlib.SpaceAndTime.Space.Derivatives.Div
/-!
# Newtonian stress tensors for fluid flows... |
1,770 | lean_file_chunk | 14cf061b9782ca6478f69c178a68d45f161ad8f8465fca6e189b31aa47b6fabc | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Florian Wiesner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Florian Wiesner
-/
module
public import Physlib.FluidDynamics.CauchyFlow.Basic
/-!
# Basic predicates for thermodynamic Cauchy flows
## i. Overview
This module defines `Thermodyna... |
1,985 | lean_file_chunk | a6052b7c06d69fd72e10ffadd139216316255fe50093bd108f3a8e40fc7ff0e1 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Florian Wiesner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Florian Wiesner, Michał Mogielnicki
-/
module
public import Physlib.FluidDynamics.CauchyFlow.BodyForce
public import Physlib.FluidDynamics.FluidFlow.Kinematics
public import Physlib.... |
1,099 | lean_file_chunk | e155c48d41687ef868a17984a3b9627e30dbadbf8cf3940ef70ffa749aea6811 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Florian Wiesner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Florian Wiesner
-/
module
public import Physlib.FluidDynamics.FluidFlow.Kinematics
public import Physlib.FluidDynamics.ThermodynamicCauchyFlow.Basic
/-!
# Isentropic thermodynamic C... |
13,599 | lean_file_chunk | f41b93e87ee2e6aa9a4acdd6950a29e56fe23d06783d1aa86cae6e6030bf4d8a | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan
-/
module
public import Mathlib.Analysis.Calculus.Gradient.Basic
public import Physlib.Mathematics.FDerivCurry
public import Physlib.Mathematics.InnerProductSpace.Adjoint... |
4,765 | lean_file_chunk | 9819e5d152aa5f2b620e0eb4785f88f2a5cc23657b75b011cb04153860082761 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan
-/
module
public import Mathlib.LinearAlgebra.Trace
public import Physlib.Mathematics.Calculus.AdjFDeriv
public import Physlib.SpaceAndTime.Space.Derivatives.Div
/-!
# D... |
4,437 | lean_file_chunk | 1d3e20e9c281ddf275cc39cc160b774b917795dbd6be07abfca2352ed1384cef | 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 Mathlib.Analysis.Calculus.ContDiff.FiniteDimension
public import Mathlib.Analysis.Calculus.ParametricIntervalIntegral
public import Math... |
23,937 | lean_file_chunk | 9d86c02957412f713680c58f531b7cbe2c6826c90a0cc7c687530047658bdd2b | 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.Analysis.Calculus.FDeriv.Symmetric
public import Mathlib.Analysis.Complex.Basic
/-!
# Wirtinger calculus
## Notation
* The differentiation... |
15,068 | lean_file_chunk | 4afcb68c71361b07be860ee15655b85df8a0ef8c78260e82a20cb89fc688af88 | lean_source_file | physlib_source_file_chunks | variable {V' : Type*} [NormedAddCommGroup V'] [NormedSpace ℝ V'] [NormedSpace ℂ V']
omit [NormedSpace ℂ V] [NormedSpace ℂ V'] in
/-- Chain rule for an inner continuous linear map `L`. Because the derivative of a linear
map is the map itself, the real Fréchet derivative of `g ∘ L` at `u`, applied to `x`, equals
the der... |
23,981 | lean_file_chunk | 0d5e1e160fcf46a83a45f5cdc0aaa20813c89459de663ced722c2a1d96870450 | 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 Physlib.Mathematics.Calculus.Wirtinger.Basic
public import Mathlib.Analysis.Calculus.FDeriv.Pi
public import Mathlib.Analysis.Calculus.FDeriv.Restrict... |
9,663 | lean_file_chunk | ccd51911ffc45c5e051e346e54452daf41609388547c0ab7c76aa094dfbb872d | lean_source_file | physlib_source_file_chunks | lemma dWirtingerAntiCoord_eq_zero_of_holomorphic_apply {u : (ι → ℂ)}
(hf : DifferentiableAt ℂ f u) (I : ι) :
dWirtingerAntiCoord f I u = 0 :=
dWirtingerAntiDir_eq_zero_of_clinear (clinear_of_holomorphic hf _)
/-!
### Coordinate-difference Wirtinger derivatives
The Wirtinger derivatives of the coordinate di... |
4,483 | lean_file_chunk | 65e9bb389813e4148c6bc690a52c908198f8728d7a27beea9c406b6d8dfb7666 | 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.Algebra.Module.Equiv.Defs
public import Mathlib.Algebra.Star.Module
public import Mathlib.LinearAlgebra.Basis.Defs
public import Mathlib.Tacti... |
1,899 | lean_file_chunk | 8d524216c11c1296c9f3885b4d0ee46a91a77b093fb6c20e3c142d23891b032f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Giuseppe Sorge. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Giuseppe Sorge
-/
module
public import Mathlib.Analysis.Calculus.ContDiff.Operations
public import Mathlib.Data.Matrix.Mul
public import Mathlib.Data.Real.Basic
public import Mathlib.... |
2,646 | lean_file_chunk | 512e10de7e72650d13f430c80c55165f6977571e7be2f5153e228f1041eb63b9 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Giuseppe Sorge. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Giuseppe Sorge
-/
module
public import Mathlib.Data.Matrix.Mul
public import Mathlib.Data.Real.Basic
public import Mathlib.LinearAlgebra.CrossProduct
public import Mathlib.LinearAlgeb... |
9,645 | lean_file_chunk | a533f1c2b77502a2e6355f45529a6149ad9778dcc8087e990a78deb776f5d613 | 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.Multiset.Bind
public import Mathlib.Data.Multiset.Sort
/-!
## The data type FourTree
We define a tree-like structure, cal... |
8,324 | lean_file_chunk | f5e863b57299f75401a394b9dbf6c3d7ae9bf89833cb654f62af4a34a50d56be | 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.DataStructures.FourTree.Basic
/-!
## Unique maps for `FourTree`
We define the `uniqueMap4` and `uniqueMap3` functi... |
11,666 | lean_file_chunk | abf74af8b4c9476bf4be38a1e497be45ca92c445916266abf1cff9d051eed9a6 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Matteo Cipollina. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Matteo Cipollina
-/
module
public import Mathlib.Analysis.Complex.Polynomial.Basic
public import Mathlib.Analysis.Normed.Algebra.MatrixExponential
public import Physlib.Mathematics.... |
23,996 | lean_file_chunk | 6a252b42fda45208cbca5d2f96249fbf16178b42c431e58da7d6a66a0616237c | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Joseph Tooby-Smith
-/
module
public import Physlib.Meta.TODO.Basic
public import Mathlib.Analysis.Distribution.TemperedDistribution
public import Mathlib.MeasureTheory.Measure.C... |
1,016 | lean_file_chunk | fb9c099c2e9006186136d6d0a75578a4b6b03e910c242ef114ef524a254bf246 | lean_source_file | physlib_source_file_chunks | trans ∫ x, ‖η x‖ ∂(volume (α := EuclideanSpace ℝ (Fin d.succ)))
· refine setIntegral_le_integral ?_ ?_
· have hi := integrable η (μ := volume)
fun_prop
· filter_upwards with x
simp
· have h' : ∀ x, ‖η x‖ ≤ (1 + ‖x‖) ^ (-(n : ℝ)) *
(2 ^ n * ((Finset.Iic m).sup (fun m' => SchwartzMap.seminor... |
5,161 | lean_file_chunk | 2c3880eae62df139b6905cbbf3f49ce23ebb0e8e79e83176758e76a1a6168c56 | 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.Analysis.Distribution.SchwartzSpace.Basic
public import Mathlib.Analysis.Calculus.ContDiff.Bounds
/-!
## The multiple of a Schw... |
8,470 | lean_file_chunk | e3c60c452edf791ebeba3bdc06da2f98696a7380753f9a2be6c470625e6bd156 | 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: Zhi Kai Pong, Tomáš Skřivan, Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Calculus.FDeriv.Symmetric
/-!
# fderiv currying lemmas
Various lemmas related to fderiv o... |
20,062 | lean_file_chunk | 7ba3d6eb4ce2211b898bcb6df5ab7a5fbb7ba5d72471067260e8db4fbf307e8d | 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.Data.Finset.Sort
public import Mathlib.Data.Fintype.Pi
public import Mathlib.Data.Fintype.Prod
public import Mathlib.Data.Nat.Fa... |
11,481 | lean_file_chunk | 9bbabdfe83852c90815bb2e5b51a9be8255499d25464e6128ddb553492c4ef3f | 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.Algebra.Order.Group.Nat
public import Mathlib.Algebra.Order.Monoid.NatCast
public import Mathlib.Logic.Equiv.Fin.Basic
/-!
# Fin... |
23,951 | lean_file_chunk | 9e52fe6c7681c3b900824d55f4cb985ef6fc3fb3574e1525d83f48b1972bdcf1 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Matteo Cipollina. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Matteo Cipollina
-/
module
public import Mathlib.Analysis.InnerProductSpace.Basic
public import Mathlib.Geometry.Manifold.MFDeriv.Defs
public import Mathlib.LinearAlgebra.BilinearFo... |
1,457 | lean_file_chunk | 6f983ba0142ff3058ab393850212e066a7753248851269e40e26ae758f397a74 | lean_source_file | physlib_source_file_chunks | lemma cotangentToBilinForm_apply (g : PseudoRiemannianMetric E H M n I) (x : M)
(ω₁ ω₂ : TangentSpace I x →L[ℝ] ℝ) :
cotangentToBilinForm g x ω₁ ω₂ = cotangentMetricVal g x ω₁ ω₂ := rfl
@[simp]
lemma cotangentToQuadraticForm_apply (g : PseudoRiemannianMetric E H M n I) (x : M)
(ω : TangentSpace I x →L[ℝ] ℝ) ... |
9,959 | lean_file_chunk | 45c2b8edaa182abe5184bbd16a6541ba5816a3ada05e90cd66296c6f935f9c0c | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Matteo Cipollina. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Matteo Cipollina
-/
module
public import Physlib.Mathematics.Geometry.Metric.PseudoRiemannian.Defs
public import Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic
/-!
# Riemanni... |
5,684 | lean_file_chunk | d7045bf7505816c86441967755878d3cd717d09d62c99b7380249a02b211a116 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan
-/
module
public import Physlib.Mathematics.InnerProductSpace.Basic
public import Mathlib.Analysis.InnerProductSpace.Adjoint
/-!
# Adjoint of a linear map
This module d... |
21,554 | lean_file_chunk | 71c09c2a5d21d1111f6eed5b5a1d014c72eadb9f03c2497b909ce8a57d622943 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan
-/
module
public import Mathlib.Analysis.InnerProductSpace.Calculus
public import Mathlib.Analysis.InnerProductSpace.ProdL2
/-!
# Inner product space
In this module we ... |
1,953 | lean_file_chunk | 4684f0594c8e35de63cc63f9428193f41a694aaf96cd0912f503fc1155c8aa99 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan
-/
module
public import Physlib.Mathematics.InnerProductSpace.Basic
/-!
# Generalization of calculus results to `InnerProductSpace'`
-/
@[expose] public section
variabl... |
8,449 | lean_file_chunk | 6c400d4dcb2459cf643d13d497ff5f9f1154751fb0b4790c75f8bd7da8baf819 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Mathlib.Analysis.Calculus.ContDiff.Bounds
public import Mathlib.Analysis.Distribution.SchwartzSpace.Basic
public import Mathlib.Analysis.Inn... |
4,520 | lean_file_chunk | fd8f64c2fcb5df1ff15941f489cc3ad1fb425807e54bd467f92f3c41c5879411 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Mathlib.Analysis.InnerProductSpace.LinearPMap
/-!
# Submodules of `E × F`
In this module we define `submoduleToLp` which reinterprets a su... |
6,290 | lean_file_chunk | cb2d92e23990c835193e8d2b513b078a3afa87492de8acde971b0f87739de980 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Mathlib.Algebra.BigOperators.Group.Finset.Piecewise
public import Mathlib.Algebra.CharZero.Defs
public import Mathlib.Algebra.Field.Defs
pub... |
15,391 | lean_file_chunk | a21626091e9601d29666121f048b39d7da69656d721d05d6af467d4a27fb8611 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Robert Sneiderman. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Sneiderman
-/
module
public import Physlib.Mathematics.KroneckerDelta.Basic
public import Mathlib.LinearAlgebra.Matrix.SchurComplement
/-!
# Contraction identities for the ... |
5,766 | lean_file_chunk | 6bf4ec6e4f21783eafcb3d37855c3adf09e526b3a9c87ad20c63057e3309fbe3 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Robert Sneiderman. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Sneiderman
-/
module
public import Physlib.Mathematics.KroneckerDelta.Basic
public import Mathlib.LinearAlgebra.Matrix.Permutation
/-!
# The Levi-Civita symbol in general d... |
10,174 | lean_file_chunk | dc7f3c8127006ce5412df3a82b033e02ec649fbc3d0f1ba29f347777711211fb | 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.Algebra.Module.LinearMap.Defs
public import Mathlib.Data.Fintype.BigOperators
public import Physlib.Meta.TODO.Basic
public impor... |
12,930 | lean_file_chunk | 4b2c1bc45944a2f3d4d7de887ddcd8e8e0f0733cfe495a379433c9cbc9d3a613 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Mathlib.Analysis.InnerProductSpace.LinearPMap
/-!
# LinearPMap
## i. Overview
In this module we collect some basic results about `LinearP... |
7,280 | lean_file_chunk | fda21847b7d5055e9c7d9b68dd7e6bfe21d5a06adcf55ea85df830cc557bf6d8 | 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.Algebra.GroupWithZero.Nat
public import Mathlib.Algebra.Order.Group.Nat
public import Mathlib.Data.Fin.SuccPred
/-!
# List lemma... |
23,994 | lean_file_chunk | 69a098ebab685c3b5fb5a9b1922de116f78f99587c31d078f0f3353c8cbfde71 | 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
import all Physlib.Mathematics.List
/-!
# List lemmas
-/
@[expose] public section
namespace Physlib.List
ope... |
3,849 | lean_file_chunk | 5e16be56db74a3eec830e399ff84c3f7dbc476f9fbf942d93230502dac9391b0 | lean_source_file | physlib_source_file_chunks | have hx := List.getElem_mem hl
simp only [List.mem_filter, List.mem_insertionSort, Bool.and_eq_true, decide_eq_true_eq] at hx
apply IsTrans.trans b a _ h.2
simp_all only [decide_not, List.takeWhile_eq_nil_iff, List.get_eq_getElem,
Bool.not_eq_eq_eq_not, Bool.not_true, decide_eq_false_iff_not, ... |
23,990 | lean_file_chunk | 72d97e25dfeaf102cbd05be16b1f91b6415a15bfb9bae242f79b8c81a3fc6b61 | 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.Fin
public import Mathlib.Order.Lattice.Nat
public import Mathlib.Data.List.TakeWhile
import all Mathlib.Data.List.So... |
9,693 | lean_file_chunk | 2e0d3a0867c9738768b9296acc0ecae97358722b199d24ea37a38dbe9811a287 | lean_source_file | physlib_source_file_chunks | lemma insertionSortEquiv_congr {α : Type} {r : α → α → Prop} [DecidableRel r] (l l' : List α)
(h : l = l') : insertionSortEquiv r l = (Fin.castOrderIso (by simp [h])).toEquiv.trans
((insertionSortEquiv r l').trans (Fin.castOrderIso (by simp [h])).toEquiv) := by
subst h
rfl
lemma insertionSortEquiv_congr_... |
1,082 | lean_file_chunk | ec88f560e003d56259893f7a495400fc3a497a44dbf39fba51854d3a9eeca88e | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Giuseppe Sorge. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Giuseppe Sorge
-/
module
public import Mathlib.Data.Matrix.Mul
/-!
# Orthogonal matrices and the dot product
An orthogonal matrix — a square matrix `A` with `Aᵀ A = 1` — preserves t... |
10,864 | lean_file_chunk | 05b741bba1280115828c336dfe865c6d1e2639be2f7a4178a229e36b4ac7615b | 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.LinearAlgebra.PiTensorProduct.Basic
/-!
# Pi Tensor Products
The purpose of this file is to define some results about Pi tensor... |
6,235 | lean_file_chunk | a71facc0e6543917fe754dfd17ae4969bb6a797f9c2e56c5e5cb70909fe6fe4d | 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.Analysis.Complex.Basic
/-!
# Rational complex numbers
-/
@[expose] public section
namespace Physlib
/-- Rational complex num... |
4,830 | lean_file_chunk | 5322dc5014768ceb93cf0936a3954e2a8033f10630f392dea23d57649a7baa8e | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Adam Bornemann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Bornemann
-/
module
public import Mathlib.Analysis.Calculus.Deriv.Pow
public import Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas
public import Mathlib.Analysis.Distribution.Tem... |
7,212 | lean_file_chunk | 107399064c1a60ee591b15b2c9ef9d0399735b555fe0083d5d4e7f8a2074e1d2 | 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.LinearAlgebra.Eigenspace.Basic
public import Mathlib.Analysis.InnerProductSpace.PiL2
/-!
# The group SO(3)
-/
@[expose] public... |
13,738 | lean_file_chunk | c92c56babac82f6a102060bfe17f4eb4f93ac807c8c421c8ebd1b3e3f1e9a715 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Gordon Hsu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gordon Hsu
-/
module
public import Mathlib.LinearAlgebra.Eigenspace.Triangularizable
public import Mathlib.Analysis.InnerProductSpace.Adjoint
/-! # Schur triangulation
Schur triangulatio... |
19,704 | lean_file_chunk | 199a532aa0068fe44a9ab2837a96cb1902888db14e495e50721b8935ed242527 | 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: Gregory J. Loges, Tomas Skrivan, Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Calculus.Deriv.Polynomial
public import Mathlib.Analysis.Calculus.ContDiff.Polynomial
... |
7,989 | lean_file_chunk | e0e0ffb28ae4fd19a27a4f31d20cae241e878bd8999384e8d9d6f0e8f5bc7726 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Afiq Hatta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Afiq Hatta
-/
module
public import Mathlib.Topology.Algebra.Polynomial
public import Mathlib.Analysis.Calculus.Deriv.Polynomial
public import Mathlib.Analysis.SpecialFunctions.Trigonometr... |
11,350 | lean_file_chunk | e9ab78a9a9d04c9ab0b090f6ba5ecb3af4672218182e5b1880758eb80f92fc0b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan, Joseph Tooby-Smith
-/
module
public import Physlib.Mathematics.VariationalCalculus.IsTestFunction
public import Mathlib.Analysis.Calculus.BumpFunction.InnerProduct
/-!
... |
23,987 | lean_file_chunk | 428fb376c654d8f1ac70cccffa5d1ea5120f7d70a03b436a6a8d1148d0265fbc | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan, Joseph Tooby-Smith
-/
module
public import Physlib.Mathematics.VariationalCalculus.HasVarAdjoint
/-!
# Variational adjoint derivative
Variational adjoint derivative of ... |
7,586 | lean_file_chunk | fbf2069eedc6c17eb2e728d45c26d321b23aa119fcd98ab83aab9ba5ddc517bf | lean_source_file | physlib_source_file_chunks | rw [deriv_smul_const, deriv_id'', one_smul]
fun_prop
· exact apply_smooth_self hG
· apply HasVarAdjoint.mul_left
· convert hG.adjoint
rw [deriv_smul_const, deriv_id'', one_smul]
fun_prop
· exact apply_smooth_self hF
lemma const_mul
(F : (X → U) → (X → ℝ))... |
23,963 | lean_file_chunk | 901700368ea2bf8d6b0c5b043dfa9da86563a45f610b12db0779f0a08db682de | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan, Joseph Tooby-Smith
-/
module
public import Physlib.Mathematics.VariationalCalculus.IsLocalizedfunctionTransform
public import Physlib.Mathematics.VariationalCalculus.Bas... |
3,331 | lean_file_chunk | 5467644fb2d89f9affb78189051789e35e18915f6094832d6c8431db97722075 | lean_source_file | physlib_source_file_chunks | [IsFiniteMeasureOnCompacts (@volume X _)] [OpensMeasurableSpace X]
{F : (X → U) → (X → V)} {G : (X → U) → (X → W)} {F' G'}
(hF : HasVarAdjoint F F') (hG : HasVarAdjoint G G') :
HasVarAdjoint
(fun φ x => (F φ x, G φ x))
(fun φ x => F' (fun x' => (φ x').1) x + G' (fun x' => (φ x').2) x) where
te... |
5,633 | lean_file_chunk | 0e04f12a8310d84e22b8d5febc5d2dc1a8c25420a91a7537b26cb11ee1e21a49 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan, Joseph Tooby-Smith
-/
module
public import Physlib.Mathematics.VariationalCalculus.HasVarAdjDeriv
/-!
# Variational gradient
Definition of variational gradient that al... |
10,008 | lean_file_chunk | 54748fbfed9492bc72527b13445d0f77860fd8c23dc670cbf24b434beffd6833 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan, Joseph Tooby-Smith
-/
module
public import Physlib.SpaceAndTime.Space.Derivatives.Div
public import Physlib.Mathematics.Calculus.AdjFDeriv
/-!
# Localized function tran... |
11,179 | lean_file_chunk | fa16e8c4696fab1db8f5b2c4dcf2a45360cc2a92cca1ccc00dc5407e42e0fa71 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Tomas Skrivan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tomas Skrivan, Joseph Tooby-Smith
-/
module
public import Physlib.Mathematics.Calculus.Divergence
public import Mathlib.Topology.ContinuousMap.CompactlySupported
/-!
# Test functions
... |
1,271 | lean_file_chunk | 41555d23adb6389aaee95e96f63a36b4f863c20e6d7e47d8a854ae961e24120e | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Meta.TODO.Basic
/-!
## Getting an array of all file paths in Physlib.
-/
@[expose] public section
open System
/-- The recursive function underlying `allFile... |
8,212 | lean_file_chunk | 622de3f843eab7272105ebeabcaecb873f51f96e785d3c66bf65a11b1998aa58 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Lean.Expr.Basic
/-!
## Basic Lean meta programming commands
-/
@[expose] public section
/-- The size of a flattened array of arrays. -/
def Array.flatSize {α... |
2,522 | lean_file_chunk | f2ea0a33e1df9c97c85a310e7f27def07f3287cab4073c30db24cbdb68b18c53 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public meta import Lean.Parser.Term
/-!
## Informal definitions and lemmas
This file contains the necessary structures that must be imported into a file for it to contain
informal d... |
2,908 | lean_file_chunk | dd7f2c7fc5fb1086f7fe299fa3dd8ff9b677095e913009b1c3b91f3f25b574f5 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Meta.Basic
public import Physlib.Meta.Informal.Basic
public import Physlib.Meta.TODO.Basic
/-!
## Informal definitions and lemmas
-/
@[expose] public section
... |
3,075 | lean_file_chunk | 30050a303fff33c0bc6279ddd016056c72744cfd4d02ef1cc3a04fc421c6f21d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public meta import Lean.Elab.Command
/-!
# Semiformal results
Semiformal results sit in between informal and formal results. There type or proposition is
defined, by the proof or d... |
3,963 | lean_file_chunk | f6ea36702545f4dabc30889808eda6d839129aa40263ebd5b34cf9ee31aeffd8 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Robert Sneiderman. All rights reserved.
Released under Apache 2.0 license.
Authors: Robert Sneiderman
-/
module
public import Physlib.Meta.Informal.Basic
public meta import Batteries.Tactic.Lint
/-!
# Physlib exemptions for the `defsWithUnderscore` linter
Mathlib's `defsWithUnderscore` environm... |
4,783 | lean_file_chunk | 5ecd5da12a4deae44bcb3f7a401419d96987455ce1ef94ebc34e8f0dce25933a | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public meta import Physlib.Meta.Basic
/-!
# The linter for `sorry` declarations and the sorryful attribute
This module defines an attribute `sorryful` and a linter `noSorry`.
The a... |
3,629 | lean_file_chunk | b980b6e744c7d25d13afbd4b1fe6e21ee3acbcfde95858936a60791e29b8f8bb | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public meta import Lean.Elab.Command
/-!
## Underlying structure for notes
This file contains the necessary structures that must be imported into a file
for it to be turned into a L... |
2,581 | lean_file_chunk | 519790f21c7fac19be91c797bb68930574d6654f8033eb1e7528627d3d153e87 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
-- import DocGen4.Output.DocString
module
public import Physlib.Meta.Basic
public import Physlib.Meta.Notes.Basic
public import Physlib.Meta.Informal.Basic
/-!
## Turns a declaration into a... |
877 | lean_file_chunk | d83b572075058c21fedb4c015b0693b9d381de249ab6a751899d4cf5d6d8a980 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public import Lean.Setup
/-!
# Note file
A note file is a structure which contains the information to go into a note.
-/
@[expose] public section
namespace Physlib
open Lean
/--... |
6,810 | lean_file_chunk | 0ca9409b5d0d24d1db8a2591f0a5a70c61d8324c61efe34e04b2636911d7ded5 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public meta import Physlib.Meta.Notes.HTMLNote
public import Physlib.Meta.Notes.NoteFile
/-!
## Turns a declaration into a html note structure.
-/
@[expose] public section
namespa... |
2,003 | lean_file_chunk | 9846b92a6e1b0ea38212941877c6851d1d493c2db91b20d7b9774f79d2f83feb | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public meta import Lean.Elab.Command
/-!
## Underlying structure for remarks
-/
@[expose] public section
namespace Physlib
open Lean
/-- The information from a `remark ...` comman... |
1,212 | lean_file_chunk | 7acc06369e1c12d2e35de6ec77bed687ef8b00dc053520cd49f349bc487e2268 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Meta.Remark.Basic
/-!
## Underlying structure for remarks
-/
@[expose] public section
namespace Physlib
open Lean
variable {m} [Monad m] [MonadEnv m] [MonadEr... |
7,729 | lean_file_chunk | 5bc4a286b805a86eaefacdd959a6ee653abb68bf2fc671522f90b3d9463707be | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Meta.Linters.Sorry
/-!
# Meta results regarding `sorry` and `pseudo` attributions
## i. Overview
The purpose of this module is to collect all results which de... |
1,919 | lean_file_chunk | 16866c4b22545483e472b9e8c7f51c22fcd3b9cfe527d9ec369a61c944f66be4 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public meta import Lean.Elab.Command
/-!
# Basic underlying structure for TODOs.
-/
@[expose] public section
namespace Physlib
open Lean
/-- The information from a `TODO ...` com... |
923 | lean_file_chunk | 398b0189190c95f3d88ed2127db39de5424acae8f3c9989e1d202ee7c26ba1a6 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Meta.TODO.Basic
/-!
# Global TODO items
This module contains global TODO items, which are not specific to any particular module,
but are still important for th... |
5,597 | lean_file_chunk | 3ca1457dccb7077c47a35801d1c01a641d60ffb74a85e2a6777b303034ffb9d7 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license.
Authors: Joseph Tooby-Smith
-/
module
public import Lean
public import Physlib.Meta.TODO.Basic
/-!
This file enables us to transverse tactics and test for conditions.
## References
The content of this file is based on t... |
421 | lean_file_chunk | 500de93c76ec681c4d094145d2a9aa47e7a2abb4fa865e63e09b7d562f76e1c1 | 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
/-!
# Optics
This directory is currently a place holder.
Please feel free to contribute!
Some directories which are NOT currently place holders are... |
806 | lean_file_chunk | 7b80f4dff5dfad8e7f6deb71d2899a0b1c5c2e10ccfe9620066835d8b7047ab6 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Zhi Kai Pong. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhi Kai Pong
-/
module
/-!
# Polarization
In this file the real representation is used to develop representations of polarizations
such as the polarization ellipse, Stokes parameters ... |
1,499 | lean_file_chunk | 0c9656b335f80328196b65c7f75f774fa9c4847b1d103e9ffe1bca0b89398898 | 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
/-!
# The Georgi-Glashow Model
The Georgi-Glashow model is a grand unified theory that unifies t... |
2,977 | lean_file_chunk | 79c09cebcd866ede103b5dfdba19602d0315dd52d2c1a3d014edbc7eaac02647 | 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
/-!
# The Pati-Salam Model
The Pati-Salam model is a petite unified theory that unifies the Stan... |
11,624 | lean_file_chunk | 248cf4d708a5cfcab85c0ae5cdfbcd740e828f18c06b63163d84ddebfae7eb2c | 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
/-!
# Anomaly cancellation conditions for the Standard Model with right-handed neutrinos
This di... |
9,076 | lean_file_chunk | dc28375e784f6c1c11710367e73311f4b21828b70aa8599eebde630b8e0b9644 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.Basic
/-!
# Family maps for the Standard Model for RHN ACCs
We define ... |
3,274 | lean_file_chunk | dd6974028e440034b7cb7bce7728f82a9a7cd970863d076143576cf310454400 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.Permutations
public import Physlib.QFT.AnomalyCancellation.GroupActions... |
3,338 | lean_file_chunk | 1e63c633436632d952f9b9ed20a517a0388f03272c5a0076e71759332b27d6bf | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.Permutations
public import Physlib.QFT.AnomalyCancellation.GroupActions... |
9,546 | lean_file_chunk | 0dee3046f8cb248ada18f05ac272e3c4d87d41277bb8bece2dd8174aef8ada01 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.Ordinary.Basic
/-!
# Dimension 7 plane
We work here in the three famil... |
1,985 | lean_file_chunk | 80d58ff15e1216d5581d9024f501192511925cdaf998c087ec7cf4902cd8bec4 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.Ordinary.Basic
public import Physlib.Particles.BeyondTheStandardModel.R... |
3,241 | lean_file_chunk | 978eb038c7045eaee36e2a43d3ac1eceb6d893058644ae5b9c55052d7fbe7a80 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.Basic
public import Mathlib.RepresentationTheory.Basic
/-!
# Permutatio... |
3,580 | lean_file_chunk | 9f89958dd59868db8ebb2419429999c5cbe672a68e57fe914ea1369d66a9766b | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.PlusU1.FamilyMaps
/-!
# B Minus L in SM with RHN.
Relevant definitions... |
4,231 | lean_file_chunk | 774516045e483ad9694b9630ba4503eeb605a4a31242ae1b0781c3d6c39904a5 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.Permutations
public import Physlib.QFT.AnomalyCancellation.GroupActions... |
2,084 | lean_file_chunk | d8215cc79264aef4fd8723909b90b3c019d18d80426e3a72827348d4bfed4936 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.PlusU1.PlaneNonSols
/-!
# Bound on plane dimension
We place an upper b... |
2,170 | lean_file_chunk | 8f6135e98d092d8e22bb123dc2cfa1f0e95b92e7838d7dbe71836956de8303a6 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.PlusU1.Basic
public import Physlib.Particles.BeyondTheStandardModel.RHN... |
4,399 | lean_file_chunk | 28519ec30282706899ffca6ab579b0df2009dc816e763f0cfb69c62b7acb7016 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.PlusU1.FamilyMaps
/-!
# Hypercharge in SM with RHN.
Relevant definitio... |
10,055 | lean_file_chunk | c6911ba69df7075052e41f779dbe057722b98764cb6ae33d522d08ee983bc492 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.PlusU1.Basic
public import Mathlib.Tactic.LinearCombination
/-!
# Plane... |
5,050 | lean_file_chunk | 0ca58f80abb72e572de9dc48ca077f9ee7ebeed2ac227a23f62205d6ecb7f32e | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.PlusU1.Basic
/-!
# Properties of Quad Sols for SM with RHN
We give a s... |
5,140 | lean_file_chunk | 86d423769b33bbe2be9a2d259a4e34d1c915826fe6adbebfd15286317da4dcb7 | 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.BeyondTheStandardModel.RHN.AnomalyCancellation.PlusU1.BMinusL
/-!
# Solutions from quad solutions
We use $B-L$ to for... |
2,263 | lean_file_chunk | 3eb4d459f69b883425160de40f4836c7f37963356af313d36bd6a1f634185453 | 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.BeyondTheStandardModel.PatiSalam.Basic
public import Physlib.Particles.BeyondTheStandardModel.GeorgiGlashow.Basic
/-!
... |
1,885 | lean_file_chunk | 81eacaa1be3c5801506b488333a995a10afa1c93c13218b9a4b3038699bbd5ff | 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
/-!
# The Two Higgs Doublet Model
The two Higgs doublet model is the standard model p... |
17,418 | lean_file_chunk | 9745fe256b871f5b9af983ff83e37c1cd546ae798c9e57665eb6120baaf07121 | 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.BeyondTheStandardModel.TwoHDM.Basic
/-!
# The gram matrix for the two Higgs doublet model
The main reference for mat... |
23,984 | lean_file_chunk | e7d810270998b1ac787b6781dd74248392b7dee30d2e139ec2efd7ea047dd550 | 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.BeyondTheStandardModel.TwoHDM.GramMatrix
/-!
# The potential of the Two Higgs doublet model
## i. Overview
In this ... |
9,268 | lean_file_chunk | 683b0a61d8ab4021705d093f807a922ec695d6d3a62bc770da981d66f355d670 | lean_source_file | physlib_source_file_chunks | + 2 * K0 * ∑ b, K b * P.η (Sum.inl 0) (Sum.inr b) +
∑ a, ∑ b, K a * K b * P.η (Sum.inr a) (Sum.inr b) := by
rw [potentialIsStable_iff_forall_euclid]
apply Iff.intro
· rintro ⟨c, hc⟩
refine ⟨c, ?_, fun K0 K hk0 hle => hc K0 K hk0.le hle⟩
simpa using hc 0 0 (by simp) (by simp)
· rintro ⟨c, hc₀, hc⟩
... |
14,098 | lean_file_chunk | 505543d047b9e8b1cfd0465477124077983e0fe9e6cb0ac590f00350658688c6 | 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.LinearAlgebra.UnitaryGroup
public import Mathlib.Analysis.Complex.Trigonometric
/-!
# The CKM Matrix
The definition of the type... |
2,016 | lean_file_chunk | ee042da42daaf90327d9d744b69dc88200835997e82fe5dbda92ecf3f3fd9abc | 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.Complex.Basic
/-!
# Invariants of the CKM Matrix
The CKM... |
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