refactor: Lint

HepLean/StandardModel/HiggsBoson/Basic.lean

@@ -11,7 +11,7 @@ import Mathlib.Geometry.Manifold.VectorBundle.SmoothSection
 import Mathlib.Geometry.Manifold.Instances.Real
 import Mathlib.Analysis.InnerProductSpace.Basic
 import Mathlib.Geometry.Manifold.ContMDiff.Product
-import HepLean.Meta.InformalDef
+import HepLean.Meta.Informal
 /-!
 
 # The Higgs field
@@ -175,8 +175,8 @@ def ofReal (a : ℝ) : HiggsField := (HiggsVec.ofReal a).toField
 def zero : HiggsField := ofReal 0
 
 informal_lemma zero_is_zero_section where
-  physics := "The zero Higgs field is the zero section of the Higgs bundle."
-  math := "The HiggsField `zero` defined by `ofReal 0`
+  physics :≈ "The zero Higgs field is the zero section of the Higgs bundle."
+  math :≈ "The HiggsField `zero` defined by `ofReal 0`
     is the constant zero-section of the bundle `HiggsBundle`."
 
 end HiggsField

HepLean/StandardModel/HiggsBoson/GaugeAction.lean

@@ -191,9 +191,9 @@ theorem rotate_fst_real_snd_zero (φ : HiggsVec) :
       tail_cons, smul_zero]
 
 informal_lemma stablity_group where
-  physics := "The Higgs boson breaks electroweak symmetry down to the electromagnetic force."
-  math := "The stablity group of the action of `rep` on `![0, Complex.ofReal ‖φ‖]`,
-    for non-zero `‖φ‖`  is the `SU(3) x U(1)` subgroup of
+  physics :≈ "The Higgs boson breaks electroweak symmetry down to the electromagnetic force."
+  math :≈ "The stablity group of the action of `rep` on `![0, Complex.ofReal ‖φ‖]`,
+    for non-zero `‖φ‖` is the `SU(3) x U(1)` subgroup of
     `gaugeGroup := SU(3) x SU(2) x U(1)` with the embedding given by
     `(g, e^{i θ}) ↦ (g, diag (e ^ {3 * i θ}, e ^ {- 3 * i θ}), e^{i θ})`."
 

HepLean/StandardModel/HiggsBoson/Potential.lean

@@ -5,7 +5,7 @@ Authors: Joseph Tooby-Smith
 -/
 import Mathlib.Algebra.QuadraticDiscriminant
 import HepLean.StandardModel.HiggsBoson.PointwiseInnerProd
-import HepLean.Meta.InformalDef
+import HepLean.Meta.Informal
 /-!
 # The potential of the Higgs field
 
@@ -316,9 +316,9 @@ lemma isBounded_of_𝓵_pos (h : 0 < P.𝓵) : P.IsBounded := by
   linarith
 
 informal_lemma isBounded_iff_of_𝓵_zero where
-  physics := "When there is no quartic coupling, the potential is bounded iff the mass squared is
+  physics :≈ "When there is no quartic coupling, the potential is bounded iff the mass squared is
     non-positive."
-  math := "For `P : Potential` then P.IsBounded if and only if P.μ2 ≤ 0.
+  math :≈ "For `P : Potential` then P.IsBounded if and only if P.μ2 ≤ 0.
     That is to say `- P.μ2 * ‖φ‖_H ^ 2 x` is bounded below if and only if `P.μ2 ≤ 0`."
 
 /-!