`BookProof.ChapterTimeTranslation.measOp_apply` (U : Matrix (Fin n) (Fin n) ℂ) (a : Fin n) (k l : Fin n) : measOp U a k l = U k a * (starRingEnd ℂ) (U l a)

Proved

BookProof.ChapterTimeTranslation.measOp_apply

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterTimeTranslation.

BookProof.ChapterTimeTranslation.measOp_apply (U : Matrix (Fin n) (Fin n) ℂ) (a : Fin n) (k l : Fin n) : measOp U a k l = U k a * (starRingEnd ℂ) (U l a)

Formalization note: Lean 4 identifier BookProof.ChapterTimeTranslation.measOp_apply.

Preamble

-- Generated from ChapterTimeTranslation.lean — theorem BookProof.ChapterTimeTranslation.measOp_apply
import Definitions.Def_ChapterReconstruct
import Mathlib
import Definitions.Def_ChapterTimeTranslation
import Definitions.Def_ChapterElectroweakFieldStrength
open BookProof.ChapterElectroweakFieldStrength
open BookProof.ChapterTimeTranslation


open scoped BigOperators
open Finset Matrix
open BookProof.ChapterReconstruct


variable {n : ℕ}

Formal statement

theorem BookProof.ChapterTimeTranslation.measOp_apply (U : Matrix (Fin n) (Fin n) ℂ) (a : Fin n) (k l : Fin n) :
    measOp U a k l = U k a * (starRingEnd ℂ) (U l a) := by sorry

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