refactor: Lint

This commit is contained in:
jstoobysmith 2024-10-16 10:57:46 +00:00
parent 691b7e112e
commit a1d3616a18
10 changed files with 65 additions and 62 deletions

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@ -242,7 +242,6 @@ variable (Λ Λ' : Matrix (Fin 1 ⊕ Fin d) (Fin 1 ⊕ Fin d) )
/-- The dual of a matrix with respect to the Minkowski metric. -/
def dual : Matrix (Fin 1 ⊕ Fin d) (Fin 1 ⊕ Fin d) := η * Λᵀ * η
@[simp]
lemma dual_id : @dual d 1 = 1 := by
simpa only [dual, transpose_one, mul_one] using minkowskiMatrix.sq
@ -279,7 +278,7 @@ lemma det_dual : (dual Λ).det = Λ.det := by
simp
lemma dual_apply (μ ν : Fin 1 ⊕ Fin d) :
dual Λ μ ν = η μ μ * Λ ν μ * η ν ν := by
dual Λ μ ν = η μ μ * Λ ν μ * η ν ν := by
simp only [dual, minkowskiMatrix, LieAlgebra.Orthogonal.indefiniteDiagonal, mul_diagonal,
diagonal_mul, transpose_apply, diagonal_apply_eq]