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