`BookProof.IrreversibleDynamics.dissipative_not_surjective_unitInterval` : ∃ y ∈ Set.Icc (0 : ℝ) 1, y ∉ dissipative '' Set.Icc (0 : ℝ) 1

Proved

BookProof.IrreversibleDynamics.dissipative_not_surjective_unitInterval

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterIrreversibleDynamics.

BookProof.IrreversibleDynamics.dissipative_not_surjective_unitInterval : ∃ y ∈ Set.Icc (0 : ℝ) 1, y ∉ dissipative '' Set.Icc (0 : ℝ) 1

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

Preamble

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



open MeasureTheory Function Set
open scoped ENNReal

Formal statement

theorem BookProof.IrreversibleDynamics.dissipative_not_surjective_unitInterval :
    ∃ y ∈ Set.Icc (0 : ℝ) 1, y ∉ dissipative '' Set.Icc (0 : ℝ) 1 := by sorry

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