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feat: Pure tensors

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jstoobysmith 2024-11-19 09:40:08 +00:00
parent 8b056d925b
commit 42d7734356
3 changed files with 83 additions and 1 deletions
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HepLean/Tensors/TensorSpecies/Contractions/Basic.lean
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@ -97,7 +97,7 @@ lemma smul_isNormZero_of_isNormZero {c : S.C} {ψ : S.FD.obj (Discrete.mk c)}
/-- If a vector is norm-zero, then any vector in the orbit of that vector is also norm-zero. -/
@[simp]
lemma action_isNormZero_of_isNormZero {c : S.C} {ψ : S.FD.obj (Discrete.mk c)} (g : S.G) :
lemma action_isNormZero_iff_isNormZero {c : S.C} {ψ : S.FD.obj (Discrete.mk c)} (g : S.G) :
S.IsNormZero ((S.FD.obj (Discrete.mk c)).ρ g ψ) ↔ S.IsNormZero ψ := by
simp only [IsNormZero, contractSelfField_equivariant]