(e : ℕ ≃ (Fin 99 →₀ ℕ)) (fabc : Fin 8 → Fin 8 → Fin 8 → ℝ) (x : finiteModeDomain (coreBasis e)) : ((ymOnePart e fabc x : finiteModeDomain (coreBasis e)) : L2d 99) = ymHamiltonian (coreRepBasis e)...

Proved

BookProof.FockSecondQuantization.coe_ymOnePart

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

timepiece

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

Preamble

-- Generated from ChapterFockSecondQuantization.lean — theorem BookProof.FockSecondQuantization.coe_ymOnePart
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

















































































variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]











open Filter Topology
















open BookProof.YangMillsHermite BookProof.HermiteProductCore
open Filter Topology

Formal statement

theorem BookProof.FockSecondQuantization.coe_ymOnePart (e : ℕ ≃ (Fin 99 →₀ ℕ)) (fabc : Fin 8 → Fin 8 → Fin 8 → ℝ)
    (x : finiteModeDomain (coreBasis e)) :
    ((ymOnePart e fabc x : finiteModeDomain (coreBasis e)) : L2d 99)
      = ymHamiltonian (coreRepBasis e) fabc x := by sorry

Source

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

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