doc: Add proof statement for informal_lemma

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jstoobysmith 2024-11-18 15:50:25 +00:00
parent 9b4cd5d0b8
commit 41b2f009d9

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@ -50,6 +50,8 @@ lemma contractSelfField_equivariant {S : TensorSpecies} {c : S.C} {g : S.G}
informal_lemma contractSelfField_non_degenerate where
math :≈ "The contraction of two vectors of the same color is non-degenerate.
I.e. ⟪ψ, φ⟫ₜₛ = 0 for all φ implies ψ = 0."
proof :≈ "The basic idea is that being degenerate contradicts the assumption of having a unit
in the tensor species."
deps :≈ [``contractSelfField]
/-- A vector satisfies `IsNormOne` if it has norm equal to one, i.e. if `⟪ψ, ψ⟫ₜₛ = 1`. -/