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chore: Bump to 4.14.0

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jstoobysmith 2024-12-10 13:44:39 +00:00
parent c91ca06272
commit 5dfd29ab8d
32 changed files with 376 additions and 334 deletions
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8
HepLean/Lorentz/ComplexTensor/PauliMatrices/Basis.lean
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@ -334,7 +334,7 @@ def pauliCoMap := ((Sum.elim ![Color.down, Color.down] ![Color.up, Color.upL, Co
⇑finSumFinEquiv.symm) ∘ Fin.succAbove 1 ∘ Fin.succAbove 1)
lemma pauliMatrix_contr_down_0 :
(contr 1 1 rfl (((tensorNode (basisVector ![Color.down, Color.down] fun x => 0)).prod
(contr 1 1 rfl (((tensorNode (basisVector ![Color.down, Color.down] fun _ => 0)).prod
(tensorNode pauliContr)))).tensor
= basisVector pauliCoMap (fun | 0 => 0 | 1 => 0 | 2 => 0)
+ basisVector pauliCoMap (fun | 0 => 0 | 1 => 1 | 2 => 1) := by
@ -379,7 +379,7 @@ lemma pauliMatrix_contr_down_0 :
fin_cases k <;> rfl
lemma pauliMatrix_contr_down_1 :
{(basisVector ![Color.down, Color.down] fun x => 1) | ν μ ⊗
{(basisVector ![Color.down, Color.down] fun _ => 1) | ν μ ⊗
pauliContr | μ α β}ᵀ.tensor
= basisVector pauliCoMap (fun | 0 => 1 | 1 => 0 | 2 => 1)
+ basisVector pauliCoMap (fun | 0 => 1 | 1 => 1 | 2 => 0) := by
@ -424,7 +424,7 @@ lemma pauliMatrix_contr_down_1 :
fin_cases k <;> rfl
lemma pauliMatrix_contr_down_2 :
{(basisVector ![Color.down, Color.down] fun x => 2) | μ ν ⊗
{(basisVector ![Color.down, Color.down] fun _ => 2) | μ ν ⊗
pauliContr | ν α β}ᵀ.tensor
= (- I) • basisVector pauliCoMap (fun | 0 => 2 | 1 => 0 | 2 => 1)
+ (I) • basisVector pauliCoMap (fun | 0 => 2 | 1 => 1 | 2 => 0) := by
@ -464,7 +464,7 @@ lemma pauliMatrix_contr_down_2 :
· decide
lemma pauliMatrix_contr_down_3 :
{(basisVector ![Color.down, Color.down] fun x => 3) | μ ν ⊗
{(basisVector ![Color.down, Color.down] fun _ => 3) | μ ν ⊗
pauliContr | ν α β}ᵀ.tensor
= basisVector pauliCoMap (fun | 0 => 3 | 1 => 0 | 2 => 0)
+ (- 1 : ℂ) • basisVector pauliCoMap (fun | 0 => 3 | 1 => 1 | 2 => 1) := by