`BookProof.NavierStokesFlow.HermiteFarisLavine.testState_coe` (κ : ℝ) (n : ℕ) : ((testState κ : L2I ℕ) : ℕ → ℂ) n = if n = 0 then 1 else if n = 2 then 1 else 0

Proved

BookProof.NavierStokesFlow.HermiteFarisLavine.testState_coe

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesHermiteFarisLavine.

BookProof.NavierStokesFlow.HermiteFarisLavine.testState_coe (κ : ℝ) (n : ℕ) : ((testState κ : L2I ℕ) : ℕ → ℂ) n = if n = 0 then 1 else if n = 2 then 1 else 0

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.HermiteFarisLavine.testState_coe.

Preamble

-- Generated from ChapterNavierStokesHermiteFarisLavine.lean — theorem BookProof.NavierStokesFlow.HermiteFarisLavine.testState_coe
import Mathlib
import Definitions.Def_ChapterNavierStokesHermiteFarisLavine
import Definitions.Def_ChapterNavierStokesFockManyMode
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow.FockManyMode
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.HermiteFarisLavine


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato

variable {κ : ℝ}
variable {x : maxDom (oscSymbol κ)}

Formal statement

theorem BookProof.NavierStokesFlow.HermiteFarisLavine.testState_coe (κ : ℝ) (n : ℕ) :
    ((testState κ : L2I ℕ) : ℕ → ℂ) n = if n = 0 then 1 else if n = 2 then 1 else 0 := by sorry

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