(j : ℕ) (u : FockAlg) (α : Conf) : annA j u α = ((Real.sqrt ((α j : ℝ) + 1) : ℝ) : ℂ) * u (up j α)

Proved

BookProof.FockSecondQuantization.annA_apply

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

timepiece

Lean 4 theorem BookProof.FockSecondQuantization.annA_apply (module BookProof.FockSecondQuantization), source chapter BookProof/ChapterFockSecondQuantization.lean.

Preamble

-- Generated from ChapterFockSecondQuantization.lean — theorem BookProof.FockSecondQuantization.annA_apply
import Mathlib
import Definitions.Def_ChapterFockSecondQuantization
open BookProof.FockSecondQuantization







open BookProof.NavierStokesFlow BookProof.NavierStokesFlow.IkebeKato
open BookProof.FarisLavine BookProof.YangMillsFriedrichs
open BookProof.HermiteGalerkin BookProof.FriedrichsExtension
open BookProof.HashimotoShiftInvert

noncomputable section

Formal statement

theorem BookProof.FockSecondQuantization.annA_apply (j : ℕ) (u : FockAlg) (α : Conf) :
    annA j u α = ((Real.sqrt ((α j : ℝ) + 1) : ℝ) : ℂ) * u (up j α) := by sorry

Source

https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterFockSecondQuantization.lean

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