Prove2Me

{col : ℕ → (ℕ →₀ ℂ)} (hherm : IsHermCol col) (u v : FockAlg) : (inner ℂ (toLp (dGamma col u)) (toLp v) : ℂ) = inner ℂ (toLp u) (toLp (dGamma col v))

Proved
BookProof.FockSecondQuantization.inner_dGamma_symm

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

timepiece

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

Preamble
-- Generated from ChapterFockSecondQuantization.lean — theorem BookProof.FockSecondQuantization.inner_dGamma_symm
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_symm {col : ℕ → (ℕ →₀ ℂ)} (hherm : IsHermCol col) (u v : FockAlg) :
    (inner ℂ (toLp (dGamma col u)) (toLp v) : ℂ) = inner ℂ (toLp u) (toLp (dGamma col v)) := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterFockSecondQuantization.lean

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