`BookProof.QgCouplingDGammaSum.dGammaOp_add_col` (a b : ℕ → (ℕ →₀ ℂ)) (x : lpFiniteModes Conf) : dGammaOp (fun k => a k + b k) x = dGammaOp a x + dGammaOp b x

Proved

BookProof.QgCouplingDGammaSum.dGammaOp_add_col

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterQgCouplingDGammaSum.

BookProof.QgCouplingDGammaSum.dGammaOp_add_col (a b : ℕ → (ℕ →₀ ℂ)) (x : lpFiniteModes Conf) : dGammaOp (fun k => a k + b k) x = dGammaOp a x + dGammaOp b x

Formalization note: Lean 4 identifier BookProof.QgCouplingDGammaSum.dGammaOp_add_col.

Preamble

-- Generated from ChapterQgCouplingDGammaSum.lean — theorem BookProof.QgCouplingDGammaSum.dGammaOp_add_col
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterFriedrichsExtension
import Definitions.Def_ChapterYangMillsFriedrichs
import Mathlib
import Definitions.Def_ChapterQgCouplingDGammaSum
import Definitions.Def_ChapterFockSecondQuantization
import Definitions.Def_ChapterNavierStokesEsa
open BookProof.FockSecondQuantization
open BookProof.QgCouplingDGammaSum



open BookProof.FockSecondQuantization
open BookProof.NavierStokesFlow BookProof.NavierStokesFlow.IkebeKato
open BookProof.FarisLavine BookProof.FriedrichsExtension BookProof.YangMillsFriedrichs

noncomputable section

variable {ι : Type*}

Formal statement

theorem BookProof.QgCouplingDGammaSum.dGammaOp_add_col (a b : ℕ → (ℕ →₀ ℂ)) (x : lpFiniteModes Conf) :
    dGammaOp (fun k => a k + b k) x = dGammaOp a x + dGammaOp b x := by sorry

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