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

Proved

BookProof.NavierStokesFlow.SignFlip.essentiallySelfAdjointOn_of_intertwine_inc

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

timepiece

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

Replaces the unuploadable node BookProof_NavierStokesFlow_SignFlip_essentiallySelfAdjointOn_of_intertwine, 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.essentiallySelfAdjointOn_of_intertwine_inc
import Mathlib
import Definitions.Def_ChapterNavierStokesSignFlip
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
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}

Formal statement

theorem BookProof.NavierStokesFlow.SignFlip.essentiallySelfAdjointOn_of_intertwine_inc (U : F ≃ₗᵢ[ℂ] F) (T T' : D →ₗ[ℂ] F)
    (hU : ∀ v : D, U (v : F) ∈ D)
    (hcomm : ∀ v : D, U (T v) = T' ⟨U (v : F), hU v⟩)
    (hT : EssentiallySelfAdjointOn D T) : EssentiallySelfAdjointOn D T' := by sorry

Source

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

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