refactor: Remove double empty lines

This commit is contained in:
jstoobysmith 2024-07-03 07:56:30 -04:00
parent ae18a2196d
commit f03d063c86
60 changed files with 0 additions and 232 deletions

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@ -98,7 +98,6 @@ lemma apply_im_smooth (φ : HiggsField) (i : Fin 2):
/-- Given two `higgsField`, the map `spaceTime → ` obtained by taking their inner product. -/
def innerProd (φ1 φ2 : HiggsField) : SpaceTime → := fun x => ⟪φ1 x, φ2 x⟫_
/-- Given a `higgsField`, the map `spaceTime → ` obtained by taking the square norm of the
higgs vector. -/
@[simp]
@ -154,7 +153,6 @@ lemma potential_apply (φ : HiggsField) (μSq lambda : ) (x : SpaceTime) :
simp [HiggsVec.potential, toHiggsVec_norm]
ring
/-- A higgs field is constant if it is equal for all `x` `y` in `spaceTime`. -/
def IsConst (Φ : HiggsField) : Prop := ∀ x y, Φ x = Φ y

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@ -39,7 +39,6 @@ open ComplexConjugate
/-- The complex vector space in which the Higgs field takes values. -/
abbrev HiggsVec := EuclideanSpace (Fin 2)
/-- The continuous linear map from the vector space `higgsVec` to `(Fin 2 → )` achieved by
casting vectors. -/
def higgsVecToFin2 : HiggsVec →L[] (Fin 2 → ) where
@ -144,7 +143,6 @@ lemma potential_snd_term_nonneg (φ : HiggsVec) :
simp_all only [ge_iff_le, norm_nonneg, pow_nonneg, and_true]
exact le_of_lt hLam
lemma zero_le_potential_discrim (φ : HiggsVec) :
0 ≤ discrim (λ) (- μSq ) (- potential μSq (λ) φ) := by
have h1 := potential_as_quad μSq (λ) φ

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@ -53,5 +53,4 @@ lemma repU1_fundamentalSU2_commute (u1 : unitary ) (g : specialUnitaryGroup (
apply Subtype.ext
simp
end StandardModel