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feat: Time order for CrAnAlgebra

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Also remove StateAlgebra
This commit is contained in:
jstoobysmith 2025-01-27 11:12:48 +00:00
parent 3abc31af98
commit 21f81a9331
19 changed files with 493 additions and 290 deletions
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3
HepLean/PerturbationTheory/Algebras/FieldOpAlgebra/Basic.lean
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@ -15,7 +15,6 @@ import Mathlib.Algebra.RingQuot
namespace FieldSpecification
open CrAnAlgebra
open StateAlgebra
open ProtoOperatorAlgebra
open HepLean.List
open WickContraction
@ -76,7 +75,7 @@ lemma ι_of_mem_fieldOpIdealSet (x : CrAnAlgebra 𝓕) (hx : x ∈ 𝓕.fieldOpI
simpa using hx
lemma ι_superCommute_ofCrAnState_ofCrAnState_mem_center (φ ψ : 𝓕.CrAnStates) :
ι [ofCrAnState φ, ofCrAnState ψ]ₛca ∈ Subalgebra.center ℂ (FieldOpAlgebra 𝓕) := by
ι [ofCrAnState φ, ofCrAnState ψ]ₛca ∈ Subalgebra.center ℂ 𝓕.FieldOpAlgebra := by
rw [Subalgebra.mem_center_iff]
intro b
obtain ⟨b, rfl⟩ := ι_surjective b