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refactor: Lint

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jstoobysmith 2024-11-11 07:22:36 +00:00
parent a8243f4e79
commit 081955c993
6 changed files with 35 additions and 34 deletions
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4
HepLean/Lorentz/PauliMatrices/AsTensor.lean
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@ -130,14 +130,14 @@ def asConsTensor : 𝟙_ (Rep ℂ SL(2,ℂ)) ⟶ complexContr ⊗ leftHanded ⊗
map_sum, map_tmul]
symm
calc _ = ∑ x, ((complexContr.ρ M) (complexContrBasis x) ⊗ₜ[ℂ]
leftRightToMatrix.symm (SL2C.toLinearMapSelfAdjointMatrix M (σSA x))) := by
leftRightToMatrix.symm (SL2C.toSelfAdjointMap M (σSA x))) := by
refine Finset.sum_congr rfl (fun x _ => ?_)
rw [← leftRightToMatrix_ρ_symm_selfAdjoint]
rfl
_ = ∑ x, ((∑ i, (SL2C.toLorentzGroup M).1 i x • (complexContrBasis i)) ⊗ₜ[ℂ]
∑ j, leftRightToMatrix.symm ((SL2C.toLorentzGroup M⁻¹).1 x j • (σSA j))) := by
refine Finset.sum_congr rfl (fun x _ => ?_)
rw [SL2CRep_ρ_basis, toSelfAdjointMap_σSA]
rw [SL2CRep_ρ_basis, SL2C.toSelfAdjointMap_σSA]
simp only [Action.instMonoidalCategory_tensorObj_V, SL2C.toLorentzGroup_apply_coe,
Fintype.sum_sum_type, Finset.univ_unique, Fin.default_eq_zero, Fin.isValue,
Finset.sum_singleton, map_inv, lorentzGroupIsGroup_inv, AddSubgroup.coe_add,