refactor: Lint

HepLean/PerturbationTheory/FieldOpAlgebra/NormalOrder/Basic.lean

@@ -226,7 +226,7 @@ lemma ι_normalOrderF_eq_of_equiv (a b : 𝓕.FieldOpFreeAlgebra) (h : a ≈ b)
   defined as the decent of `ι ∘ₗ normalOrderF` from `FieldOpFreeAlgebra 𝓕` to `FieldOpAlgebra 𝓕`.
   This decent exists because `ι ∘ₗ normalOrderF` is well-defined on equivalence classes.
 
-  The notation `𝓝(a)` is used for `normalOrder a`.  -/
+  The notation `𝓝(a)` is used for `normalOrder a`. -/
 noncomputable def normalOrder : FieldOpAlgebra 𝓕 →ₗ[ℂ] FieldOpAlgebra 𝓕 where
   toFun := Quotient.lift (ι.toLinearMap ∘ₗ normalOrderF) ι_normalOrderF_eq_of_equiv
   map_add' x y := by

HepLean/PerturbationTheory/FieldOpAlgebra/NormalOrder/Lemmas.lean

@@ -118,7 +118,6 @@ lemma crPart_mul_normalOrder (φ : 𝓕.FieldOp) (a : 𝓕.FieldOpAlgebra) :
 
 -/
 
-
 /-- For a field specfication `𝓕`, and `a` and `b` in `𝓕.FieldOpAlgebra` the normal ordering
   of the super commutator of `a` and `b` vanishes. I.e. `𝓝([a,b]ₛ) = 0`. -/
 @[simp]
@@ -351,7 +350,7 @@ the following relation holds in the algebra `𝓕.FieldOpAlgebra`,
 
 The proof of ultimetly goes as follows:
 - `ofFieldOp_eq_crPart_add_anPart` is used to split `φ` into its creation and annihilation parts.
-- The fact that `crPart φ *  𝓝(φ₀φ₁…φₙ) = 𝓝(crPart φ * φ₀φ₁…φₙ)` is used.
+- The fact that `crPart φ * 𝓝(φ₀φ₁…φₙ) = 𝓝(crPart φ * φ₀φ₁…φₙ)` is used.
 - The fact that `anPart φ * 𝓝(φ₀φ₁…φₙ)` is
   `𝓢(φ, φ₀φ₁…φₙ) 𝓝(φ₀φ₁…φₙ) * anPart φ + [anPart φ, 𝓝(φ₀φ₁…φₙ)]` is used
 - The fact that `𝓢(φ, φ₀φ₁…φₙ) 𝓝(φ₀φ₁…φₙ) * anPart φ = 𝓝(anPart φ * φ₀φ₁…φₙ)`

HepLean/PerturbationTheory/FieldOpAlgebra/NormalOrder/WickContractions.lean

@@ -26,7 +26,7 @@ variable {𝓕 : FieldSpecification}
 -/
 
 /-- For a list `φs = φ₀…φₙ` of `𝓕.FieldOp`, a Wick contraction `φsΛ` of `φs`, an element `φ` of
-  `𝓕.FieldOp`, and a `i ≤ φs.length`  the following relation holds
+  `𝓕.FieldOp`, and a `i ≤ φs.length` the following relation holds
 
   `𝓝([φsΛ ↩Λ φ i none]ᵘᶜ) = s • 𝓝(φ :: [φsΛ]ᵘᶜ)`
 
@@ -100,7 +100,7 @@ lemma normalOrder_uncontracted_none (φ : 𝓕.FieldOp) (φs : List 𝓕.FieldOp
 
 /--
   For a list `φs = φ₀…φₙ` of `𝓕.FieldOp`, a Wick contraction `φsΛ` of `φs`, an element `φ` of
-  `𝓕.FieldOp`,  a `i ≤ φs.length` and a `k` in `φsΛ.uncontracted`, then
+  `𝓕.FieldOp`, a `i ≤ φs.length` and a `k` in `φsΛ.uncontracted`, then
   `𝓝([φsΛ ↩Λ φ i (some k)]ᵘᶜ)` is equal to the normal ordering of `[φsΛ]ᵘᶜ` with the `FieldOp`
   corresponding to `k` removed.