refactor: Lint

HepLean/StandardModel/HiggsBoson/GaugeAction.lean

@@ -76,7 +76,7 @@ def unitToLinear : unitary (HiggsVec →L[ℂ] HiggsVec) →* HiggsVec →ₗ[
 /-- The representation of the gauge group acting on `higgsVec`. -/
 @[simps!]
 def rep : Representation ℂ GaugeGroup HiggsVec :=
-   unitToLinear.comp (unitaryToLin.comp higgsRepUnitary)
+  unitToLinear.comp (unitaryToLin.comp higgsRepUnitary)
 
 lemma higgsRepUnitary_mul (g : GaugeGroup) (φ : HiggsVec) :
     (higgsRepUnitary g).1 *ᵥ φ = g.2.2 ^ 3 • (g.2.1.1 *ᵥ φ) := by
@@ -138,7 +138,7 @@ lemma rotateGuageGroup_apply {φ : HiggsVec} (hφ : φ ≠ 0) :
     rep (rotateGuageGroup hφ) φ = ![0, ofReal ‖φ‖] := by
   rw [rep_apply]
   simp only [rotateGuageGroup, rotateMatrix, one_pow, one_smul,
-     Nat.succ_eq_add_one, Nat.reduceAdd, ofReal_eq_coe]
+    Nat.succ_eq_add_one, Nat.reduceAdd, ofReal_eq_coe]
   ext i
   fin_cases i
   · simp only [mulVec, Fin.zero_eta, Fin.isValue, cons_val', empty_val', cons_val_fin_one,

HepLean/StandardModel/HiggsBoson/PointwiseInnerProd.lean

@@ -55,8 +55,7 @@ lemma innerProd_left_zero (φ : HiggsField) : ⟪0, φ⟫_H = 0 := by
 lemma innerProd_right_zero (φ : HiggsField) : ⟪φ, 0⟫_H = 0 := by
   funext x
   simp [innerProd]
-example (x : ℝ): RCLike.ofReal x = ofReal' x := by
-  rfl
+
 lemma innerProd_expand (φ1 φ2 : HiggsField) :
     ⟪φ1, φ2⟫_H = fun x => equivRealProdCLM.symm (((φ1 x 0).re * (φ2 x 0).re
     + (φ1 x 1).re * (φ2 x 1).re+ (φ1 x 0).im * (φ2 x 0).im + (φ1 x 1).im * (φ2 x 1).im),

HepLean/StandardModel/Representations.lean

@@ -32,7 +32,7 @@ noncomputable def repU1Map (g : unitary ℂ) : unitaryGroup (Fin 2) ℂ :=
     simp only [one_pow, one_smul]⟩
 
 /-- The 2d representation of U(1) with charge 3 as a homomorphism
- from U(1) to `unitaryGroup (Fin 2) ℂ`. -/
+  from U(1) to `unitaryGroup (Fin 2) ℂ`. -/
 @[simps!]
 noncomputable def repU1 : unitary ℂ →* unitaryGroup (Fin 2) ℂ where
   toFun g := repU1Map g