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refactor: Lint

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jstoobysmith 2024-08-16 16:15:39 -04:00
parent f75661784a
commit a3988a49d4
11 changed files with 35 additions and 63 deletions
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4
HepLean/SpaceTime/LorentzTensor/EinsteinNotation/Basic.lean
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@ -5,7 +5,6 @@ Authors: Joseph Tooby-Smith
-/
import Mathlib.LinearAlgebra.StdBasis
import HepLean.SpaceTime.LorentzTensor.Basic
import HepLean.SpaceTime.LorentzTensor.IndexNotation.Basic
import Mathlib.LinearAlgebra.DirectSum.Finsupp
import Mathlib.LinearAlgebra.Finsupp
/-!
@ -30,7 +29,6 @@ instance : Fintype einsteinTensorColor.Color := Unit.fintype
instance : DecidableEq einsteinTensorColor.Color := instDecidableEqPUnit
variable {R : Type} [CommSemiring R]
/-- The `TensorStructure` associated with `n`-dimensional tensors. -/
@ -98,7 +96,7 @@ def toVec : (einsteinTensor R n).Tensor ![Unit.unit] ≃ₗ[R] Fin n → R :=
/-- A matrix from an Einstein tensor with two indices. -/
def toMatrix : (einsteinTensor R n).Tensor ![Unit.unit, Unit.unit] ≃ₗ[R] Matrix (Fin n) (Fin n) R :=
((einsteinTensor R n).mapIso ((Fin.castOrderIso
(by rfl : (Nat.succ 0).succ = Nat.succ 0 + Nat.succ 0)).toEquiv.trans
(by rfl : (Nat.succ 0).succ = Nat.succ 0 + Nat.succ 0)).toEquiv.trans
finSumFinEquiv.symm) (by funext x; fin_cases x; rfl; rfl)).trans <|
((einsteinTensor R n).tensoratorEquiv ![0] ![0]).symm.trans <|
(TensorProduct.congr ((PiTensorProduct.subsingletonEquiv 0))