Prove2Me

`BookProof.ChapterStoneMeasurable.WeakMeasurableUnitaryGroup.gen_stoneU_eq` (t : ℝ) : G.gen.stoneU t = G.U t

Proved
BookProof.ChapterStoneMeasurable.WeakMeasurableUnitaryGroup.gen_stoneU_eq

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterStoneConverse.

BookProof.ChapterStoneMeasurable.WeakMeasurableUnitaryGroup.gen_stoneU_eq (t : ℝ) : G.gen.stoneU t = G.U t

Formalization note: Lean 4 identifier BookProof.ChapterStoneMeasurable.WeakMeasurableUnitaryGroup.gen_stoneU_eq.

Preamble
-- Generated from ChapterStoneConverse.lean — theorem BookProof.ChapterStoneMeasurable.WeakMeasurableUnitaryGroup.gen_stoneU_eq
import Mathlib
import Definitions.Def_ChapterStoneConverse
import Definitions.Def_ChapterStoneMeasurable
import Definitions.Def_ChapterStoneUnitary
open BookProof.ChapterStoneMeasurable
open BookProof.ChapterStoneMeasurable


open scoped InnerProductSpace
open Filter Topology MeasureTheory


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

variable [CompleteSpace H] [TopologicalSpace.SeparableSpace H]
variable (G : WeakMeasurableUnitaryGroup H)
Formal statement
theorem BookProof.ChapterStoneMeasurable.WeakMeasurableUnitaryGroup.gen_stoneU_eq (t : ℝ) : G.gen.stoneU t = G.U t := by sorry

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