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Theorem iterate-is-fix

cont(f) ⊦ μ(f)(x) ↔ (∃ n. ((f ^ n))(λ x. false)(x))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 13
Used lemmas: cont-monotone, iterate-subseq-mu, cont-iterate-fix,
Used spec theorems:
- monotone-set-fixpoint/least-prefixpoint-def
- monotone-set-fixpoint/subseteq-def
Used simplifier rules: