refactor: Lint

HepLean/SpaceTime/LorentzVector/AsSelfAdjointMatrix.lean

@@ -52,7 +52,7 @@ lemma toSelfAdjointMatrix_apply_coe (x : LorentzVector 3) : (toSelfAdjointMatrix
     - x (Sum.inr 1) • PauliMatrix.σ2
     - x (Sum.inr 2) • PauliMatrix.σ3 := by
   rw [toSelfAdjointMatrix_apply]
-  simp only [Fin.isValue, AddSubgroupClass.coe_sub, selfAdjoint.val_smul]
+  rfl
 
 lemma toSelfAdjointMatrix_stdBasis (i : Fin 1 ⊕ Fin 3) :
     toSelfAdjointMatrix (LorentzVector.stdBasis i) = PauliMatrix.σSAL i := by
@@ -68,21 +68,21 @@ lemma toSelfAdjointMatrix_stdBasis (i : Fin 1 ⊕ Fin 3) :
     simp only [Fin.isValue, ne_eq, reduceCtorEq, not_false_eq_true, Pi.single_eq_of_ne, zero_smul,
       Pi.single_eq_same, one_smul, zero_sub, Sum.inr.injEq, one_ne_zero, sub_zero, Fin.reduceEq,
       PauliMatrix.σSAL, Basis.coe_mk, PauliMatrix.σSAL']
-    refine Eq.symm (PauliMatrix.selfAdjoint_ext rfl rfl rfl rfl)
+    rfl
   | Sum.inr 1 =>
     simp only [LorentzVector.stdBasis, Fin.isValue]
     erw [Pi.basisFun_apply]
     simp only [Fin.isValue, ne_eq, reduceCtorEq, not_false_eq_true, Pi.single_eq_of_ne, zero_smul,
       Sum.inr.injEq, zero_ne_one, sub_self, Pi.single_eq_same, one_smul, zero_sub, Fin.reduceEq,
       sub_zero, PauliMatrix.σSAL, Basis.coe_mk, PauliMatrix.σSAL']
-    refine Eq.symm (PauliMatrix.selfAdjoint_ext rfl rfl rfl rfl)
+    rfl
   | Sum.inr 2 =>
     simp only [LorentzVector.stdBasis, Fin.isValue]
     erw [Pi.basisFun_apply]
     simp only [Fin.isValue, ne_eq, reduceCtorEq, not_false_eq_true, Pi.single_eq_of_ne, zero_smul,
       Sum.inr.injEq, Fin.reduceEq, sub_self, Pi.single_eq_same, one_smul, zero_sub,
       PauliMatrix.σSAL, Basis.coe_mk, PauliMatrix.σSAL']
-    refine Eq.symm (PauliMatrix.selfAdjoint_ext rfl rfl rfl rfl)
+    rfl
 
 @[simp]
 lemma toSelfAdjointMatrix_symm_basis (i : Fin 1 ⊕ Fin 3) :

HepLean/SpaceTime/LorentzVector/Complex/Basic.lean

@@ -44,7 +44,6 @@ def complexContrBasis : Basis (Fin 1 ⊕ Fin 3) ℂ complexContr := Basis.ofEqui
 lemma complexContrBasis_toFin13ℂ (i :Fin 1 ⊕ Fin 3) :
     (complexContrBasis i).toFin13ℂ = Pi.single i 1 := by
   simp only [complexContrBasis, Basis.coe_ofEquivFun]
-  rw [Lorentz.ContrℂModule.toFin13ℂ]
   rfl
 
 @[simp]
@@ -72,7 +71,6 @@ def complexCoBasis : Basis (Fin 1 ⊕ Fin 3) ℂ complexCo := Basis.ofEquivFun
 @[simp]
 lemma complexCoBasis_toFin13ℂ (i :Fin 1 ⊕ Fin 3) : (complexCoBasis i).toFin13ℂ = Pi.single i 1 := by
   simp only [complexCoBasis, Basis.coe_ofEquivFun]
-  rw [Lorentz.CoℂModule.toFin13ℂ]
   rfl
 
 @[simp]

HepLean/SpaceTime/PauliMatrices/AsTensor.lean

@@ -41,10 +41,6 @@ lemma asTensor_expand_complexContrBasis : asTensor =
     + complexContrBasis (Sum.inr 0) ⊗ₜ leftRightToMatrix.symm (σSA (Sum.inr 0))
     + complexContrBasis (Sum.inr 1) ⊗ₜ leftRightToMatrix.symm (σSA (Sum.inr 1))
     + complexContrBasis (Sum.inr 2) ⊗ₜ leftRightToMatrix.symm (σSA (Sum.inr 2)) := by
-  simp only [Action.instMonoidalCategory_tensorObj_V, asTensor,
-    CategoryTheory.Equivalence.symm_inverse, Action.functorCategoryEquivalence_functor,
-    Action.FunctorCategoryEquivalence.functor_obj_obj, Fintype.sum_sum_type, Finset.univ_unique,
-    Fin.default_eq_zero, Fin.isValue, Finset.sum_singleton, Fin.sum_univ_three]
   rfl
 
 /-- The expansion of the pauli matrix `σ₀` in terms of a basis of tensor product vectors. -/

HepLean/SpaceTime/WeylFermion/Basic.lean

@@ -61,7 +61,6 @@ lemma leftBasis_ρ_apply (M : SL(2,ℂ)) (i j : Fin 2) :
 @[simp]
 lemma leftBasis_toFin2ℂ (i : Fin 2) : (leftBasis i).toFin2ℂ = Pi.single i 1 := by
   simp only [leftBasis, Basis.coe_ofEquivFun]
-  rw [LeftHandedModule.toFin2ℂ]
   rfl
 
 /-- The vector space ℂ^2 carrying the representation of SL(2,C) given by
@@ -94,7 +93,6 @@ def altLeftBasis : Basis (Fin 2) ℂ altLeftHanded := Basis.ofEquivFun
 @[simp]
 lemma altLeftBasis_toFin2ℂ (i : Fin 2) : (altLeftBasis i).toFin2ℂ = Pi.single i 1 := by
   simp only [altLeftBasis, Basis.coe_ofEquivFun]
-  rw [AltLeftHandedModule.toFin2ℂ]
   rfl
 
 @[simp]
@@ -132,7 +130,6 @@ def rightBasis : Basis (Fin 2) ℂ rightHanded := Basis.ofEquivFun
 @[simp]
 lemma rightBasis_toFin2ℂ (i : Fin 2) : (rightBasis i).toFin2ℂ = Pi.single i 1 := by
   simp only [rightBasis, Basis.coe_ofEquivFun]
-  rw [RightHandedModule.toFin2ℂ]
   rfl
 
 @[simp]
@@ -174,7 +171,6 @@ def altRightBasis : Basis (Fin 2) ℂ altRightHanded := Basis.ofEquivFun
 @[simp]
 lemma altRightBasis_toFin2ℂ (i : Fin 2) : (altRightBasis i).toFin2ℂ = Pi.single i 1 := by
   simp only [altRightBasis, Basis.coe_ofEquivFun]
-  rw [AltRightHandedModule.toFin2ℂ]
   rfl
 
 @[simp]

HepLean/SpaceTime/WeylFermion/Unit.lean

@@ -7,7 +7,6 @@ import HepLean.SpaceTime.WeylFermion.Basic
 import HepLean.SpaceTime.WeylFermion.Contraction
 import Mathlib.LinearAlgebra.TensorProduct.Matrix
 import HepLean.SpaceTime.WeylFermion.Two
-import LLMLean
 /-!
 
 # Units of Weyl fermions