`BookProof.FockNumberPreservingGap.creVec_smul` (c : ℂ) (v : ℕ →₀ ℂ) (x : FockAlg) : creVec (c • v) x = c • creVec v x

Proved

BookProof.FockNumberPreservingGap.creVec_smul

by leonardopedro · Oct 5, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFockNumberPreservingGap.

BookProof.FockNumberPreservingGap.creVec_smul (c : ℂ) (v : ℕ →₀ ℂ) (x : FockAlg) : creVec (c • v) x = c • creVec v x

Formalization note: Lean 4 identifier BookProof.FockNumberPreservingGap.creVec_smul.

Preamble

-- Generated from ChapterFockNumberPreservingGap.lean — theorem BookProof.FockNumberPreservingGap.creVec_smul
import Definitions.Def_ChapterFockOneParticleGap
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Mathlib
import Definitions.Def_ChapterFockNumberPreservingGap
import Definitions.Def_ChapterFockSecondQuantization
open BookProof.FockSecondQuantization
open BookProof.FockNumberPreservingGap


noncomputable section


open BookProof.FockSecondQuantization BookProof.FockOneParticleGap
open BookProof.FarisLavine BookProof.NavierStokesFlow

Formal statement

theorem BookProof.FockNumberPreservingGap.creVec_smul (c : ℂ) (v : ℕ →₀ ℂ) (x : FockAlg) :
    creVec (c • v) x = c • creVec v x := by sorry

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