refactor: basic golfing and renaming

This commit is contained in:
jstoobysmith 2025-01-03 05:12:54 +00:00
parent dcfc4b1318
commit bab9f10763
8 changed files with 177 additions and 188 deletions

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@ -126,10 +126,7 @@ lemma inclCongrRealLorentz_ρ (M : SL(2, )) (v : ContrMod 3) :
apply Lorentz.ContrModule.ext
rw [complexContrBasis_ρ_val, inclCongrRealLorentz_val, inclCongrRealLorentz_val]
rw [LorentzGroup.toComplex_mulVec_ofReal]
apply congrArg
simp only [SL2C.toLorentzGroup_apply_coe]
change _ = ContrMod.toFin1d ((SL2C.toLorentzGroup M) *ᵥ v)
simp only [SL2C.toLorentzGroup_apply_coe, ContrMod.mulVec_toFin1d]
rfl
/-! TODO: Rename. -/
lemma SL2CRep_ρ_basis (M : SL(2, )) (i : Fin 1 ⊕ Fin 3) :