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refactor: Lint

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jstoobysmith 2024-10-24 16:42:25 +00:00
parent 833a570ce8
commit 7d983f5b4b
5 changed files with 23 additions and 20 deletions
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7
HepLean/SpaceTime/WeylFermion/Metric.lean
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@ -352,8 +352,8 @@ lemma rightAltContraction_apply_metric : (β_ rightHanded altRightHanded).hom.ho
((rightHanded.V ◁ rightAltContraction.hom ▷ altRightHanded.V) (((rightHanded.V ◁
(α_ rightHanded.V altRightHanded.V altRightHanded.V).inv)
((α_ rightHanded.V rightHanded.V (altRightHanded.V ⊗ altRightHanded.V)).hom
((x1 ⊗ₜ[ℂ] x2) ⊗ₜ[ℂ] y1 ⊗ₜ[ℂ] y2)))))
= x1 ⊗ₜ[ℂ] ((λ_ altRightHanded.V).hom ((rightAltContraction.hom (x2 ⊗ₜ[ℂ] y1)) ⊗ₜ[ℂ] y2)) := rfl
((x1 ⊗ₜ[ℂ] x2) ⊗ₜ[ℂ] y1 ⊗ₜ[ℂ] y2))))) = x1 ⊗ₜ[ℂ] ((λ_ altRightHanded.V).hom
((rightAltContraction.hom (x2 ⊗ₜ[ℂ] y1)) ⊗ₜ[ℂ] y2)) := rfl
repeat rw (config := { transparency := .instances }) [h1]
repeat rw [rightAltContraction_basis]
simp only [Fin.isValue, Fin.val_one, Fin.val_zero, one_ne_zero, ↓reduceIte, zero_tmul, map_zero,
@ -374,7 +374,8 @@ lemma altRightContraction_apply_metric : (β_ altRightHanded rightHanded).hom.ho
rw [rightMetricVal_expand_tmul, altRightMetricVal_expand_tmul]
simp only [Action.instMonoidalCategory_tensorObj_V, Action.instMonoidalCategory_tensorUnit_V,
Fin.isValue, tmul_add, tmul_neg, sub_tmul, map_add, map_neg, map_sub]
have h1 (x1 x2 : altRightHanded) (y1 y2 : rightHanded) : (altRightHanded.V ◁ (λ_ rightHanded.V).hom)
have h1 (x1 x2 : altRightHanded) (y1 y2 : rightHanded) :
(altRightHanded.V ◁ (λ_ rightHanded.V).hom)
((altRightHanded.V ◁ altRightContraction.hom ▷ rightHanded.V) (((altRightHanded.V ◁
(α_ altRightHanded.V rightHanded.V rightHanded.V).inv)
((α_ altRightHanded.V altRightHanded.V (rightHanded.V ⊗ rightHanded.V)).hom