{col : ℕ → (ℕ →₀ ℂ)} (hpos : IsPosCol col) (u : FockAlg) : 0 ≤ (inner ℂ (toLp u) (toLp (dGamma col u)) : ℂ).re

Proved

BookProof.FockSecondQuantization.inner_dGamma_nonneg

by leonardopedro · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

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

Preamble

-- Generated from ChapterFockSecondQuantization.lean — theorem BookProof.FockSecondQuantization.inner_dGamma_nonneg
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.inner_dGamma_nonneg {col : ℕ → (ℕ →₀ ℂ)} (hpos : IsPosCol col) (u : FockAlg) :
    0 ≤ (inner ℂ (toLp u) (toLp (dGamma col u)) : ℂ).re := by sorry

Source

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

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