`BookProof.IrreversibleDynamics.dissipative_volume_image` (A : Set ℝ) : volume (dissipative '' A) = volume A / 2

Proved

BookProof.IrreversibleDynamics.dissipative_volume_image

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterIrreversibleDynamics.

BookProof.IrreversibleDynamics.dissipative_volume_image (A : Set ℝ) : volume (dissipative '' A) = volume A / 2

Formalization note: Lean 4 identifier BookProof.IrreversibleDynamics.dissipative_volume_image.

Preamble

-- Generated from ChapterIrreversibleDynamics.lean — theorem BookProof.IrreversibleDynamics.dissipative_volume_image
import Mathlib
import Definitions.Def_ChapterIrreversibleDynamics
open BookProof.IrreversibleDynamics



open MeasureTheory Function Set
open scoped ENNReal

Formal statement

theorem BookProof.IrreversibleDynamics.dissipative_volume_image (A : Set ℝ) :
    volume (dissipative '' A) = volume A / 2 := by sorry

View graph