The Lean 4 theorem `flipU_mem_finiteModes` in the `ChapterNavierStokesSignFlip` chapter of the timepiece formalization

Proved

BookProof.NavierStokesFlow.SignFlip.flipU_mem_finiteModes_inc

by leonardopedro · Oct 21, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem flipU_mem_finiteModes in the ChapterNavierStokesSignFlip chapter of the timepiece formalization.

Replaces the unuploadable node BookProof_NavierStokesFlow_SignFlip_flipU_mem_finiteModes, whose statement name is already declared inside its published definition bundle; the _inc suffix publishes the same statement as its own node.

Preamble

-- Generated from ChapterNavierStokesSignFlip.lean — theorem BookProof.NavierStokesFlow.SignFlip.flipU_mem_finiteModes_inc
import Mathlib
import Definitions.Def_ChapterNavierStokesSignFlip
import Definitions.Def_ChapterNavierStokesEsa
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.SignFlip


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato HermiteFarisLavine ShiftHamiltonian AffineFiber

variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] {D : Submodule ℂ F}
variable {ι : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.SignFlip.flipU_mem_finiteModes_inc (p : ι → ℕ) {x : L2I ι} (hx : x ∈ lpFiniteModes ι) :
    flipU p x ∈ lpFiniteModes ι := by sorry

Source

https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterNavierStokesSignFlip.lean

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