feat: Some docs

HepLean/AnomalyCancellation/SMNu/Permutations.lean

@@ -29,6 +29,7 @@ def PermGroup (n : ℕ) := Fin 6 → Equiv.Perm (Fin n)
 
 variable {n : ℕ}
 
+/-- The instance of a group on `PermGroup n` through the target space `Equiv.Perm (Fin n)`. -/
 @[simp]
 instance : Group (PermGroup n) := Pi.group
 

HepLean/Lorentz/Weyl/Basic.lean

@@ -274,10 +274,14 @@ def leftHandedAltEquiv : leftHanded ≅ altLeftHanded where
     rw [one_mulVec]
     rfl
 
+/-- `leftHandedAltEquiv` acting on an element `ψ : leftHanded` corresponds
+  to multiplying `ψ` by the matrix `!![0, 1; -1, 0]`. -/
 lemma leftHandedAltEquiv_hom_hom_apply (ψ : leftHanded) :
     leftHandedAltEquiv.hom.hom ψ =
     AltLeftHandedModule.toFin2ℂEquiv.symm (!![0, 1; -1, 0] *ᵥ ψ.toFin2ℂ) := rfl
 
+/-- The inverse of `leftHandedAltEquiv` acting on an element`ψ : altLeftHanded` corresponds
+  to multiplying `ψ` by the matrix `!![0, -1; 1, 0]`. -/
 lemma leftHandedAltEquiv_inv_hom_apply (ψ : altLeftHanded) :
     leftHandedAltEquiv.inv.hom ψ =
     LeftHandedModule.toFin2ℂEquiv.symm (!![0, -1; 1, 0] *ᵥ ψ.toFin2ℂ) := rfl

HepLean/StandardModel/HiggsBoson/Basic.lean

@@ -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

HepLean/Tensors/Tree/Basic.lean

@@ -110,10 +110,13 @@ open OverColor
 
 variable (S : TensorSpecies)
 
+/-- The field `k` of a TensorSpecies has the instance of a commuative ring. -/
 instance : CommRing S.k := S.k_commRing
 
+/-- The field `G` of a TensorSpecies has the instance of a group. -/
 instance : Group S.G := S.G_group
 
+/-- The field `repDim` of a TensorSpecies is non-zero for all colors. -/
 instance (c : S.C) : NeZero (S.repDim c) := S.repDim_neZero c
 
 /-- The lift of the functor `S.F` to a monoidal functor. -/