Prove2Me

(u v : FockAlg) : (inner ℂ (toLp u) (toLp v) : ℂ) = ∑ α ∈ u.support, (starRingEnd ℂ) (u α) * v α

Proved
BookProof.FockSecondQuantization.inner_toLp

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

timepiece

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

Preamble
-- Generated from ChapterFockSecondQuantization.lean — theorem BookProof.FockSecondQuantization.inner_toLp
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_toLp (u v : FockAlg) :
    (inner ℂ (toLp u) (toLp v) : ℂ) = ∑ α ∈ u.support, (starRingEnd ℂ) (u α) * v α := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterFockSecondQuantization.lean

View graph