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Update Basic.lean

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Pietro Monticone 2024-06-08 03:49:34 +02:00
parent ea6c61eb29
commit b7dee75d5c
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HepLean/StandardModel/HiggsBoson/Basic.lean
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@ -81,7 +81,7 @@ lemma higgsVecToFin2ℂ_toHiggsVec (φ : higgsField) :
higgsVecToFin2ℂ ∘ φ.toHiggsVec = φ := rfl
lemma toVec_smooth (φ : higgsField) : Smooth 𝓘(ℝ, spaceTime) 𝓘(ℝ, Fin 2 → ℂ) φ :=
smooth_higgsVecToFin2ℂ.comp φ.toHiggsVec_smooth
smooth_higgsVecToFin2ℂ.comp φ.toHiggsVec_smooth
lemma apply_smooth (φ : higgsField) :
∀ i, Smooth 𝓘(ℝ, spaceTime) 𝓘(ℝ, ℂ) (fun (x : spaceTime) => (φ x i)) :=