`BookProof.NavierStokesFlow.FockContinuum.memLp_conj` {μ : Measure X} {F : X → ℂ} (h : MemLp F 2 μ) : MemLp (fun x => (starRingEnd ℂ) (F x)) 2 μ

Proved

BookProof.NavierStokesFlow.FockContinuum.memLp_conj

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesFockContinuum.

BookProof.NavierStokesFlow.FockContinuum.memLp_conj {μ : Measure X} {F : X → ℂ} (h : MemLp F 2 μ) : MemLp (fun x => (starRingEnd ℂ) (F x)) 2 μ

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.FockContinuum.memLp_conj.

Preamble

-- Generated from ChapterNavierStokesFockContinuum.lean — theorem BookProof.NavierStokesFlow.FockContinuum.memLp_conj
import Mathlib
import Definitions.Def_ChapterNavierStokesFockContinuum
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FockContinuum


open MeasureTheory



open FullEsa

variable {X : Type*} [MeasurableSpace X]

Formal statement

theorem BookProof.NavierStokesFlow.FockContinuum.memLp_conj {μ : Measure X} {F : X → ℂ} (h : MemLp F 2 μ) :
    MemLp (fun x => (starRingEnd ℂ) (F x)) 2 μ := by sorry

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