refactor: More spellings
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10 changed files with 21 additions and 21 deletions
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@ -61,7 +61,7 @@ lemma coMetric_basis_expand_tree : {η' | μ ν}ᵀ.tensor =
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(smul (-1) (tensorNode (basisVector ![Color.down, Color.down] (fun _ => 3))))).tensor :=
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coMetric_basis_expand
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/-- The expansion of the Lorentz contrvariant metric in terms of basis vectors. -/
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/-- The expansion of the Lorentz contravariant metric in terms of basis vectors. -/
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lemma contrMatrix_basis_expand : {η | μ ν}ᵀ.tensor =
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basisVector ![Color.up, Color.up] (fun _ => 0)
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- basisVector ![Color.up, Color.up] (fun _ => 1)
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@ -87,7 +87,7 @@ lemma contrMatrix_basis_expand : {η | μ ν}ᵀ.tensor =
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simp only [Fin.isValue, Lorentz.complexContrBasisFin4, Basis.coe_reindex, Function.comp_apply]
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rfl
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/-- The expansion of the Lorentz contrvariant metric in terms of basis vectors as
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/-- The expansion of the Lorentz contravariant metric in terms of basis vectors as
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a structured tensor tree. -/
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lemma contrMatrix_basis_expand_tree : {η | μ ν}ᵀ.tensor =
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(TensorTree.add (tensorNode (basisVector ![Color.up, Color.up] (fun _ => 0))) <|
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