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feat: Some docs

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jstoobysmith 2024-11-11 11:58:48 +00:00
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HepLean/StandardModel/HiggsBoson/Basic.lean
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@ -87,15 +87,13 @@ We also define the Higgs bundle.
/-- The trivial vector bundle 𝓡² × ℂ². -/
abbrev HiggsBundle := Bundle.Trivial SpaceTime HiggsVec
/-- The instance of a smooth vector bundle with total space `HiggsBundle` and fiber `HiggsVec`. -/
instance : SmoothVectorBundle HiggsVec HiggsBundle SpaceTime.asSmoothManifold :=
Bundle.Trivial.smoothVectorBundle HiggsVec
/-- A Higgs field is a smooth section of the Higgs bundle. -/
abbrev HiggsField : Type := SmoothSection SpaceTime.asSmoothManifold HiggsVec HiggsBundle
instance : NormedAddCommGroup (Fin 2 → ℂ) := by
exact Pi.normedAddCommGroup
/-- Given a vector in `HiggsVec` the constant Higgs field with value equal to that
section. -/
def HiggsVec.toField (φ : HiggsVec) : HiggsField where