`BookProof.IrreversibleDynamics.nat_succ_injective_not_surjective` : Function.Injective Nat.succ ∧ ¬ Function.Surjective Nat.succ

Proved

BookProof.IrreversibleDynamics.nat_succ_injective_not_surjective

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterIrreversibleDynamics.

BookProof.IrreversibleDynamics.nat_succ_injective_not_surjective : Function.Injective Nat.succ ∧ ¬ Function.Surjective Nat.succ

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

Preamble

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



open MeasureTheory Function Set
open scoped ENNReal

Formal statement

theorem BookProof.IrreversibleDynamics.nat_succ_injective_not_surjective :
    Function.Injective Nat.succ ∧ ¬ Function.Surjective Nat.succ := by sorry

View graph