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refactor: LInt

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This commit is contained in:
jstoobysmith 2024-11-09 18:12:05 +00:00
parent e963be5ef8
commit d058f41689
11 changed files with 38 additions and 50 deletions
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5
HepLean/Lorentz/SL2C/Basic.lean
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@ -103,8 +103,8 @@ lemma toMatrix_apply_contrMod (M : SL(2, ℂ)) (v : ContrMod 3) :
rw [LinearEquiv.apply_symm_apply]
simp only [ContrMod.toSelfAdjoint, LinearEquiv.trans_symm, LinearEquiv.symm_symm,
LinearEquiv.trans_apply]
change ContrMod.toFin1dℝEquiv.symm ((
((LinearMap.toMatrix PauliMatrix.σSAL PauliMatrix.σSAL) (toLinearMapSelfAdjointMatrix M)))
change ContrMod.toFin1dℝEquiv.symm
((((LinearMap.toMatrix PauliMatrix.σSAL PauliMatrix.σSAL) (toLinearMapSelfAdjointMatrix M)))
*ᵥ (((Finsupp.linearEquivFunOnFinite ℝ ℝ (Fin 1 ⊕ Fin 3)) (PauliMatrix.σSAL.repr a)))) = _
apply congrArg
erw [LinearMap.toMatrix_mulVec_repr]
@ -131,7 +131,6 @@ def toLorentzGroup : SL(2, ℂ) →* LorentzGroup 3 where
ext1
simp only [_root_.map_mul, lorentzGroupIsGroup_mul_coe]
lemma toLorentzGroup_eq_σSAL (M : SL(2, ℂ)) :
toLorentzGroup M = LinearMap.toMatrix
PauliMatrix.σSAL PauliMatrix.σSAL (toLinearMapSelfAdjointMatrix M) := by