(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
ProvedBookProof.NavierStokesFlow.FockManyMode.testState_coe_eq_zeronavier-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 ShiftHamiltonianFormal 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 sorrySource