`BookProof.ChapterWignerSymmetry.wignerCoord_coordMap` (hT : IsWignerSymmetry T) : WignerCoord (coordMap b T (imgBasis b T o hT)) o

Proved

BookProof.ChapterWignerSymmetry.wignerCoord_coordMap

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerSymmetry.

BookProof.ChapterWignerSymmetry.wignerCoord_coordMap (hT : IsWignerSymmetry T) : WignerCoord (coordMap b T (imgBasis b T o hT)) o

Formalization note: Lean 4 identifier BookProof.ChapterWignerSymmetry.wignerCoord_coordMap.

Preamble

-- Generated from ChapterWignerSymmetry.lean — theorem BookProof.ChapterWignerSymmetry.wignerCoord_coordMap
import Mathlib
import Definitions.Def_ChapterWignerSymmetry
open BookProof.ChapterWignerSymmetry


open scoped InnerProductSpace ComplexConjugate
open Finset


variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℂ E]


variable {T : E → E}

variable {ι : Type*} [Fintype ι] [DecidableEq ι]
variable {S : (ι → ℂ) → (ι → ℂ)} {o : ι}
variable {b : OrthonormalBasis ι ℂ E} {o : ι}

Formal statement

theorem BookProof.ChapterWignerSymmetry.wignerCoord_coordMap (hT : IsWignerSymmetry T) :
    WignerCoord (coordMap b T (imgBasis b T o hT)) o := by sorry

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