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(i₀ : Fin d) {β : Occ d} (h0 : β ≠ 0) (h1 : β ≠ modeShift i₀ 0) : ((testState κ i₀ : L2I (Occ d)) : Occ d → ℂ) β = 0

Proved
BookProof.NavierStokesFlow.FockManyMode.testState_coe_eq_zero

by leonardopedro · Oct 2, 2026 · Mathlib 0df444a (Lean v4.33.1)

navier-stokesoperator-algebrastimepiece

Lean 4 theorem BookProof.NavierStokesFlow.FockManyMode.testState_coe_eq_zero (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.

Preamble
-- Generated from ChapterNavierStokesFockManyMode.lean — theorem BookProof.NavierStokesFlow.FockManyMode.testState_coe_eq_zero
import Mathlib
import Definitions.Def_ChapterNavierStokesFockManyMode
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockManyMode

variable {d : ℕ} {κ : Fin d → ℝ}


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato ShiftHamiltonian
Formal statement
theorem BookProof.NavierStokesFlow.FockManyMode.testState_coe_eq_zero (i₀ : Fin d) {β : Occ d}
    (h0 : β ≠ 0) (h1 : β ≠ modeShift i₀ 0) :
    ((testState κ i₀ : L2I (Occ d)) : Occ d → ℂ) β = 0 := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.lean

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