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refactor: Lint

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jstoobysmith 2025-01-30 05:35:42 +00:00
parent 22636db606
commit 32aefb7eb7
9 changed files with 209 additions and 166 deletions
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10
HepLean/PerturbationTheory/Algebras/FieldOpAlgebra/Basic.lean
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@ -134,7 +134,6 @@ lemma ι_superCommute_ofCrAnState_superCommute_ofCrAnState_ofCrAnState (φ1 φ2
left
use φ1, φ2, φ3
@[simp]
lemma ι_superCommute_superCommute_ofCrAnState_ofCrAnState_ofCrAnState (φ1 φ2 φ3 : 𝓕.CrAnStates) :
ι [[ofCrAnState φ1, ofCrAnState φ2]ₛca, ofCrAnState φ3]ₛca = 0 := by
rw [← ofCrAnList_singleton, ← ofCrAnList_singleton, ← ofCrAnList_singleton]
@ -147,16 +146,15 @@ lemma ι_superCommute_superCommute_ofCrAnState_ofCrAnState_ofCrAnState (φ1 φ2
· rw [superCommute_fermionic_fermionic_symm h h']
simp [ofCrAnList_singleton]
@[simp]
lemma ι_superCommute_superCommute_ofCrAnState_ofCrAnState_ofCrAnList (φ1 φ2 : 𝓕.CrAnStates)
(φs : List 𝓕.CrAnStates) :
ι [[ofCrAnState φ1, ofCrAnState φ2]ₛca, ofCrAnList φs]ₛca = 0 := by
rw [← ofCrAnList_singleton, ← ofCrAnList_singleton]
rcases superCommute_ofCrAnList_ofCrAnList_bosonic_or_fermionic [φ1] [φ2] with h | h
· rw [superCommute_bosonic_ofCrAnList_eq_sum _ _ h]
simp [ofCrAnList_singleton]
simp [ofCrAnList_singleton, ι_superCommute_superCommute_ofCrAnState_ofCrAnState_ofCrAnState]
· rw [superCommute_fermionic_ofCrAnList_eq_sum _ _ h]
simp [ofCrAnList_singleton]
simp [ofCrAnList_singleton, ι_superCommute_superCommute_ofCrAnState_ofCrAnState_ofCrAnState]
@[simp]
lemma ι_superCommute_superCommute_ofCrAnState_ofCrAnState_crAnAlgebra (φ1 φ2 : 𝓕.CrAnStates)
@ -164,7 +162,7 @@ lemma ι_superCommute_superCommute_ofCrAnState_ofCrAnState_crAnAlgebra (φ1 φ2
change (ι.toLinearMap ∘ₗ superCommute [ofCrAnState φ1, ofCrAnState φ2]ₛca) a = _
have h1 : (ι.toLinearMap ∘ₗ superCommute [ofCrAnState φ1, ofCrAnState φ2]ₛca) = 0 := by
apply (ofCrAnListBasis.ext fun l ↦ ?_)
simp
simp [ι_superCommute_superCommute_ofCrAnState_ofCrAnState_ofCrAnList]
rw [h1]
simp
@ -239,7 +237,7 @@ lemma bosonicProj_mem_fieldOpIdealSet_or_zero (x : CrAnAlgebra 𝓕) (hx : x ∈
lemma fermionicProj_mem_fieldOpIdealSet_or_zero (x : CrAnAlgebra 𝓕) (hx : x ∈ 𝓕.fieldOpIdealSet) :
x.fermionicProj.1 ∈ 𝓕.fieldOpIdealSet ∨ x.fermionicProj = 0 := by
have hx' := hx
simp only [fieldOpIdealSet, exists_prop, Set.mem_setOf_eq] at hx
simp only [fieldOpIdealSet, exists_prop, Set.mem_setOf_eq] at hx
rcases hx with ⟨φ1, φ2, φ3, rfl⟩ | ⟨φc, φc', hφc, hφc', rfl⟩ | ⟨φa, φa', hφa, hφa', rfl⟩ |
⟨φ, φ', hdiff, rfl⟩
· rcases superCommute_superCommute_ofCrAnState_bosonic_or_fermionic φ1 φ2 φ3 with h | h