`BookProof.IrreversibleDynamics.dissipative_nonsingular_Icc` {a b : ℝ} (h : a < b) : 0 < volume (dissipative '' Set.Icc a b)

Proved

BookProof.IrreversibleDynamics.dissipative_nonsingular_Icc

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterIrreversibleDynamics.

BookProof.IrreversibleDynamics.dissipative_nonsingular_Icc {a b : ℝ} (h : a < b) : 0 < volume (dissipative '' Set.Icc a b)

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

Preamble

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



open MeasureTheory Function Set
open scoped ENNReal

Formal statement

theorem BookProof.IrreversibleDynamics.dissipative_nonsingular_Icc {a b : ℝ} (h : a < b) :
    0 < volume (dissipative '' Set.Icc a b) := by sorry

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