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refactor: Linting

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jstoobysmith 2024-07-30 08:07:47 -04:00
parent a65fb06605
commit a438af453d
14 changed files with 87 additions and 76 deletions
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3
HepLean/SpaceTime/LorentzTensor/Fin.lean
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@ -35,10 +35,13 @@ variable {d : ℕ} {X Y Y' Z W : Type} [Fintype X] [DecidableEq X] [Fintype Y] [
{cW : W → 𝓣.Color} {cY' : Y' → 𝓣.Color} {μ ν: 𝓣.Color}
{cn : Fin n → 𝓣.Color} {cm : Fin m → 𝓣.Color}
/-- Casting a tensor defined on `Fin n` to `Fin m` where `n = m`. -/
@[simp]
def finCast (h : n = m) (hc : cn = cm ∘ Fin.castOrderIso h) : 𝓣.Tensor cn ≃ₗ[R] 𝓣.Tensor cm :=
𝓣.mapIso (Fin.castOrderIso h) hc
/-- An equivalence between `𝓣.Tensor cn ⊗[R] 𝓣.Tensor cm` indexed by `Fin n` and `Fin m`,
and `𝓣.Tensor (Sum.elim cn cm ∘ finSumFinEquiv.symm)` indexed by `Fin (n + m)`. -/
@[simp]
def finSumEquiv : 𝓣.Tensor cn ⊗[R] 𝓣.Tensor cm ≃ₗ[R]
𝓣.Tensor (Sum.elim cn cm ∘ finSumFinEquiv.symm) :=