DibyashanuPati/PhysLean
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

refactor: More lint

Browse source
This commit is contained in:
jstoobysmith 2024-10-24 12:12:29 +00:00
parent c9c7b25ea8
commit dd8b1d731c
4 changed files with 7 additions and 7 deletions
Download patch file Download diff file Expand all files Collapse all files

2
HepLean/Tensors/ComplexLorentz/Basis.lean
View file

@ -38,7 +38,7 @@ namespace complexLorentzTensor
/-- Basis vectors for complex Lorentz tensors. -/ /-- Basis vectors for complex Lorentz tensors. -/
def basisVector {n : ℕ} (c : Fin n → complexLorentzTensor.C) def basisVector {n : ℕ} (c : Fin n → complexLorentzTensor.C)
(b : Π j, Fin (complexLorentzTensor.repDim (c j))) : (b : Π j, Fin (complexLorentzTensor.repDim (c j))) :
complexLorentzTensor.F.obj (OverColor.mk c) := complexLorentzTensor.F.obj (OverColor.mk c) :=
PiTensorProduct.tprod ℂ (fun i => complexLorentzTensor.basis (c i) (b i)) PiTensorProduct.tprod ℂ (fun i => complexLorentzTensor.basis (c i) (b i))

8
HepLean/Tensors/ComplexLorentz/PauliContr.lean
View file

@ -237,9 +237,9 @@ private lemma pauliMatrix_lower_basis_expand_prod' {n : ℕ} {c : Fin n → comp
exact pauliMatrix_lower_basis_expand_prod _ exact pauliMatrix_lower_basis_expand_prod _
lemma pauliMatrix_contract_pauliMatrix_aux : lemma pauliMatrix_contract_pauliMatrix_aux :
{Lorentz.coMetric | μ ν ⊗ PauliMatrix.asConsTensor | μ α β ⊗ {Lorentz.coMetric | μ ν ⊗ PauliMatrix.asConsTensor | μ α β ⊗
PauliMatrix.asConsTensor | ν α' β'}ᵀ.tensor PauliMatrix.asConsTensor | ν α' β'}ᵀ.tensor
= ((tensorNode = ((tensorNode
((basisVector pauliMatrixContrPauliMatrixMap fun | 0 => 0 | 1 => 0 | 2 => 0 | 3 => 0) + ((basisVector pauliMatrixContrPauliMatrixMap fun | 0 => 0 | 1 => 0 | 2 => 0 | 3 => 0) +
basisVector pauliMatrixContrPauliMatrixMap fun | 0 => 0 | 1 => 0 | 2 => 1 | 3 => 1)).add basisVector pauliMatrixContrPauliMatrixMap fun | 0 => 0 | 1 => 0 | 2 => 1 | 3 => 1)).add
((tensorNode ((tensorNode
@ -310,8 +310,8 @@ lemma pauliMatrix_contract_pauliMatrix_aux :
pauliMatrix_contr_lower_3_1_1] pauliMatrix_contr_lower_3_1_1]
lemma pauliMatrix_contract_pauliMatrix_expand : lemma pauliMatrix_contract_pauliMatrix_expand :
{Lorentz.coMetric | μ ν ⊗ PauliMatrix.asConsTensor | μ α β ⊗ {Lorentz.coMetric | μ ν ⊗ PauliMatrix.asConsTensor | μ α β ⊗
PauliMatrix.asConsTensor | ν α' β'}ᵀ.tensor = PauliMatrix.asConsTensor | ν α' β'}ᵀ.tensor =
2 • basisVector pauliMatrixContrPauliMatrixMap (fun | 0 => 0 | 1 => 0 | 2 => 1 | 3 => 1) 2 • basisVector pauliMatrixContrPauliMatrixMap (fun | 0 => 0 | 1 => 0 | 2 => 1 | 3 => 1)
+ 2 • basisVector pauliMatrixContrPauliMatrixMap (fun | 0 => 1 | 1 => 1 | 2 => 0 | 3 => 0) + 2 • basisVector pauliMatrixContrPauliMatrixMap (fun | 0 => 1 | 1 => 1 | 2 => 0 | 3 => 0)
- 2 • basisVector pauliMatrixContrPauliMatrixMap (fun | 0 => 0 | 1 => 1 | 2 => 1 | 3 => 0) - 2 • basisVector pauliMatrixContrPauliMatrixMap (fun | 0 => 0 | 1 => 1 | 2 => 1 | 3 => 0)

2
HepLean/Tensors/ComplexLorentz/PauliLower.lean
View file

@ -139,7 +139,7 @@ lemma pauliMatrix_contr_down_3 :
fin_cases k <;> rfl fin_cases k <;> rfl
lemma pauliMatrix_contr_down_3_tree : {(basisVector ![Color.down, Color.down] fun x => 3) | μ ν ⊗ lemma pauliMatrix_contr_down_3_tree : {(basisVector ![Color.down, Color.down] fun x => 3) | μ ν ⊗
PauliMatrix.asConsTensor | μ α β}ᵀ.tensor = PauliMatrix.asConsTensor | μ α β}ᵀ.tensor =
(TensorTree.add (TensorTree.add
((tensorNode (basisVector pauliMatrixLowerMap (fun | 0 => 3 | 1 => 0 | 2 => 0)))) ((tensorNode (basisVector pauliMatrixLowerMap (fun | 0 => 3 | 1 => 0 | 2 => 0))))
(smul (-1) (tensorNode (basisVector pauliMatrixLowerMap (smul (-1) (tensorNode (basisVector pauliMatrixLowerMap

2
HepLean/Tensors/Tree/NodeIdentities/Basic.lean
View file

@ -203,7 +203,7 @@ lemma smul_prod {n m: ℕ} {c : Fin n → S.C} {c1 : Fin m → S.C}
simp [prod_tensor, smul_tensor, tmul_smul, smul_tmul, map_smul] simp [prod_tensor, smul_tensor, tmul_smul, smul_tmul, map_smul]
lemma prod_smul {n m : ℕ} {c : Fin n → S.C} {c1 : Fin m → S.C} lemma prod_smul {n m : ℕ} {c : Fin n → S.C} {c1 : Fin m → S.C}
(a : S.k) (t1 : TensorTree S c) (t2 : TensorTree S c1) : (a : S.k) (t1 : TensorTree S c) (t2 : TensorTree S c1) :
(prod t1 (smul a t2)).tensor = (smul a (prod t1 t2)).tensor := by (prod t1 (smul a t2)).tensor = (smul a (prod t1 t2)).tensor := by
simp [prod_tensor, smul_tensor, tmul_smul, smul_tmul, map_smul] simp [prod_tensor, smul_tensor, tmul_smul, smul_tmul, map_smul]