Prove2Me

`BookProof.SmDiracYukawa.diagOp_add_one_surjective` {d : Finset (Fin n) → ℝ} (hd : ∀ S, 1 ≤ d S) (f : FermiFock n) : ∃ ψ : FermiFock n, diagOp d ψ + ψ = f

Proved
BookProof.SmDiracYukawa.diagOp_add_one_surjective

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmDiracYukawa.

BookProof.SmDiracYukawa.diagOp_add_one_surjective {d : Finset (Fin n) → ℝ} (hd : ∀ S, 1 ≤ d S) (f : FermiFock n) : ∃ ψ : FermiFock n, diagOp d ψ + ψ = f

Formalization note: Lean 4 identifier BookProof.SmDiracYukawa.diagOp_add_one_surjective.

Preamble
-- Generated from ChapterSmDiracYukawa.lean — theorem BookProof.SmDiracYukawa.diagOp_add_one_surjective
import Definitions.Def_ChapterFarisLavine
import Mathlib
import Definitions.Def_ChapterSmDiracYukawa
import Definitions.Def_ChapterAbelianDiagonalCountable
import Definitions.Def_ChapterSmCarAlgebra
open BookProof.ChapterAbelianDiagonalCountable
open BookProof.SmCar
open BookProof.SmDiracYukawa



open Finset Matrix
open BookProof.SmCar BookProof.FarisLavine

variable {n : ℕ}

noncomputable section
Formal statement
theorem BookProof.SmDiracYukawa.diagOp_add_one_surjective {d : Finset (Fin n) → ℝ} (hd : ∀ S, 1 ≤ d S)
    (f : FermiFock n) : ∃ ψ : FermiFock n, diagOp d ψ + ψ = f := by sorry

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