`BookProof.IrreversibleDynamics.dissipative_nonsingular` {A : Set ℝ} (h : 0 < volume A) : 0 < volume (dissipative '' A)

Proved

BookProof.IrreversibleDynamics.dissipative_nonsingular

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterIrreversibleDynamics.

BookProof.IrreversibleDynamics.dissipative_nonsingular {A : Set ℝ} (h : 0 < volume A) : 0 < volume (dissipative '' A)

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

Preamble

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



open MeasureTheory Function Set
open scoped ENNReal

Formal statement

theorem BookProof.IrreversibleDynamics.dissipative_nonsingular {A : Set ℝ} (h : 0 < volume A) :
    0 < volume (dissipative '' A) := by sorry

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