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refactor: Lint

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jstoobysmith 2024-08-02 16:52:04 -04:00
parent 9d98dc4854
commit 4a64acc2a2
3 changed files with 12 additions and 7 deletions
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9
HepLean/SpaceTime/LorentzTensor/IndexNotation/TensorIndex.lean
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@ -24,21 +24,22 @@ variable {d : ℕ} {X Y Y' Z W : Type} [Fintype X] [DecidableEq X] [Fintype Y] [
variable [IndexNotation 𝓣.Color] [Fintype 𝓣.Color] [DecidableEq 𝓣.Color]
/-- The structure an tensor with a index specification e.g. `ᵘ¹ᵤ₂`. -/
structure TensorIndex (cn : Fin n → 𝓣.Color) where
/-- The underlying tensor. -/
tensor : 𝓣.Tensor cn
/-- The list of indices. -/
index : IndexListColor 𝓣.toTensorColor
/-- The number of indices matches the number of vector spaces in the tensor. -/
nat_eq : n = index.1.length
/-- The equivalence classes of colors of the tensor and the index list agree. -/
quot_eq : 𝓣.colorQuot ∘ index.1.colorMap ∘ Fin.cast nat_eq = 𝓣.colorQuot ∘ cn
namespace TensorIndex
variable {𝓣 : TensorStructure R} [IndexNotation 𝓣.Color] [Fintype 𝓣.Color] [DecidableEq 𝓣.Color]
variable {n m : ℕ} {cn : Fin n → 𝓣.Color} {cm : Fin m → 𝓣.Color} (T : TensorIndex 𝓣 cn)
section noncomputable
def smul (r : R) : TensorIndex 𝓣 cn := ⟨r • T.tensor, T.index, T.nat_eq, T.quot_eq⟩
end
end TensorIndex