`BookProof.ChapterWignerSymmetry.S_zero` (hS : WignerCoord S o) {v : ι → ℂ} {k : ι} (h : v k = 0) : S v k = 0

Proved

BookProof.ChapterWignerSymmetry.S_zero

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerSymmetry.

BookProof.ChapterWignerSymmetry.S_zero (hS : WignerCoord S o) {v : ι → ℂ} {k : ι} (h : v k = 0) : S v k = 0

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

Preamble

-- Generated from ChapterWignerSymmetry.lean — theorem BookProof.ChapterWignerSymmetry.S_zero
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}

Formal statement

theorem BookProof.ChapterWignerSymmetry.S_zero (hS : WignerCoord S o) {v : ι → ℂ} {k : ι} (h : v k = 0) : S v k = 0 := by sorry

View graph