(j : ℕ) {α : Conf} (h : 1 ≤ α j) : up j (dn j α) = α

Proved

BookProof.FockSecondQuantization.up_dn

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

timepiece

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

Preamble

-- Generated from ChapterFockSecondQuantization.lean — theorem BookProof.FockSecondQuantization.up_dn
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.up_dn (j : ℕ) {α : Conf} (h : 1 ≤ α j) : up j (dn j α) = α := by sorry

Source

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

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