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refactor: Lint

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jstoobysmith 2024-10-24 16:47:32 +00:00
parent 7d983f5b4b
commit 9ec5746451
5 changed files with 4 additions and 15 deletions
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8
HepLean/SpaceTime/LorentzVector/AsSelfAdjointMatrix.lean
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@ -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) :