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refactor: lint

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This commit is contained in:
jstoobysmith 2025-02-03 11:42:56 +00:00
parent 6433259bc4
commit 70f617096b
16 changed files with 103 additions and 87 deletions
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6
HepLean/PerturbationTheory/Algebras/FieldOpAlgebra/TimeOrder.lean
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@ -153,7 +153,8 @@ lemma ι_timeOrderF_superCommuteF_superCommuteF_ofCrAnListF {φ1 φ2 φ3 : 𝓕.
simp
@[simp]
lemma ι_timeOrderF_superCommuteF_superCommuteF {φ1 φ2 φ3 : 𝓕.CrAnFieldOp} (a b : 𝓕.FieldOpFreeAlgebra) :
lemma ι_timeOrderF_superCommuteF_superCommuteF {φ1 φ2 φ3 : 𝓕.CrAnFieldOp}
(a b : 𝓕.FieldOpFreeAlgebra) :
ι 𝓣ᶠ(a * [ofCrAnOpF φ1, [ofCrAnOpF φ2, ofCrAnOpF φ3]ₛca]ₛca * b) = 0 := by
let pb (b : 𝓕.FieldOpFreeAlgebra) (hc : b ∈ Submodule.span ℂ (Set.range ofCrAnListFBasis)) :
Prop := ι 𝓣ᶠ(a * [ofCrAnOpF φ1, [ofCrAnOpF φ2, ofCrAnOpF φ3]ₛca]ₛca * b) = 0
@ -303,7 +304,8 @@ lemma ι_timeOrderF_superCommuteF_neq_time {φ ψ : 𝓕.CrAnFieldOp}
lemma ι_timeOrderF_zero_of_mem_ideal (a : 𝓕.FieldOpFreeAlgebra)
(h : a ∈ TwoSidedIdeal.span 𝓕.fieldOpIdealSet) : ι 𝓣ᶠ(a) = 0 := by
rw [TwoSidedIdeal.mem_span_iff_mem_addSubgroup_closure] at h
let p {k : Set 𝓕.FieldOpFreeAlgebra} (a : FieldOpFreeAlgebra 𝓕) (h : a ∈ AddSubgroup.closure k) := ι 𝓣ᶠ(a) = 0
let p {k : Set 𝓕.FieldOpFreeAlgebra} (a : FieldOpFreeAlgebra 𝓕)
(h : a ∈ AddSubgroup.closure k) := ι 𝓣ᶠ(a) = 0
change p a h
apply AddSubgroup.closure_induction
· intro x hx