`BookProof.NavierStokesFlow.BilinearEsa.bilFun_embFun` (κ : J → ℝ) (j : J) (a : ℕ → ℂ) : bilFun κ (embFun j a) = embFun j (hFun (κ j) a)

Proved

BookProof.NavierStokesFlow.BilinearEsa.bilFun_embFun

by leonardopedro · Oct 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesBilinearEsa.

BookProof.NavierStokesFlow.BilinearEsa.bilFun_embFun (κ : J → ℝ) (j : J) (a : ℕ → ℂ) : bilFun κ (embFun j a) = embFun j (hFun (κ j) a)

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.BilinearEsa.bilFun_embFun.

Preamble

-- Generated from ChapterNavierStokesBilinearEsa.lean — theorem BookProof.NavierStokesFlow.BilinearEsa.bilFun_embFun
import Mathlib
import Definitions.Def_ChapterNavierStokesBilinearEsa
import Definitions.Def_ChapterNavierStokesHermiteFarisLavine
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.BilinearEsa


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato HermiteFarisLavine

variable {J : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.BilinearEsa.bilFun_embFun (κ : J → ℝ) (j : J) (a : ℕ → ℂ) :
    bilFun κ (embFun j a) = embFun j (hFun (κ j) a) := by sorry

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