`BookProof.ChapterG.ghost_creat_conjTranspose` : (ghostAnnih (A := ℂ))ᴴ = ghostCreat

Proved

BookProof.ChapterG.ghost_creat_conjTranspose

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterG.

BookProof.ChapterG.ghost_creat_conjTranspose : (ghostAnnih (A := ℂ))ᴴ = ghostCreat

Formalization note: Lean 4 identifier BookProof.ChapterG.ghost_creat_conjTranspose.

Preamble

-- Generated from ChapterG.lean — theorem BookProof.ChapterG.ghost_creat_conjTranspose
import Mathlib
import Definitions.Def_ChapterG
import Definitions.Def_ChapterNavierStokes
open BookProof.NavierStokes
open BookProof.ChapterG


open scoped ComplexConjugate InnerProductSpace Matrix
open MeasureTheory

variable {G : Type*} [Group G] [MeasurableSpace G]
variable {μG : Measure G} [IsProbabilityMeasure μG] [μG.IsMulLeftInvariant]
variable {X : Type*} [MulAction G X]
variable {A : Type*} [Ring A]

Formal statement

theorem BookProof.ChapterG.ghost_creat_conjTranspose : (ghostAnnih (A := ℂ))ᴴ = ghostCreat := by sorry

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