`BookProof.BrstLeakage.norm_omega_flow_eq` {A Om : E →L[ℂ] E} (hA : IsSelfAdjoint A) (h : Commute A Om) (t : ℝ) (x : E) : ‖Om (flow A t x)‖ = ‖Om x‖

Proved

BookProof.BrstLeakage.norm_omega_flow_eq

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBrstTruncationLeakage.

BookProof.BrstLeakage.norm_omega_flow_eq {A Om : E →L[ℂ] E} (hA : IsSelfAdjoint A) (h : Commute A Om) (t : ℝ) (x : E) : ‖Om (flow A t x)‖ = ‖Om x‖

Formalization note: Lean 4 identifier BookProof.BrstLeakage.norm_omega_flow_eq.

Preamble

-- Generated from ChapterBrstTruncationLeakage.lean — theorem BookProof.BrstLeakage.norm_omega_flow_eq
import Mathlib
import Definitions.Def_ChapterBrstTruncationLeakage
open BookProof.BrstLeakage


open NormedSpace


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

Formal statement

theorem BookProof.BrstLeakage.norm_omega_flow_eq {A Om : E →L[ℂ] E} (hA : IsSelfAdjoint A) (h : Commute A Om)
    (t : ℝ) (x : E) : ‖Om (flow A t x)‖ = ‖Om x‖ := by sorry

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