`BookProof.BrstLeakage.norm_flow_sub_flow_le` {A B : E →L[ℂ] E} (hA : IsSelfAdjoint A) (hB : IsSelfAdjoint B) (t : ℝ) (ht : 0 ≤ t) : ‖flow A t - flow B t‖ ≤ ‖A - B‖ * t

Proved

BookProof.BrstLeakage.norm_flow_sub_flow_le

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBrstTruncationLeakage.

BookProof.BrstLeakage.norm_flow_sub_flow_le {A B : E →L[ℂ] E} (hA : IsSelfAdjoint A) (hB : IsSelfAdjoint B) (t : ℝ) (ht : 0 ≤ t) : ‖flow A t - flow B t‖ ≤ ‖A - B‖ * t

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

Preamble

-- Generated from ChapterBrstTruncationLeakage.lean — theorem BookProof.BrstLeakage.norm_flow_sub_flow_le
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_flow_sub_flow_le {A B : E →L[ℂ] E} (hA : IsSelfAdjoint A)
    (hB : IsSelfAdjoint B) (t : ℝ) (ht : 0 ≤ t) :
    ‖flow A t - flow B t‖ ≤ ‖A - B‖ * t := by sorry

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