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Theorem cont-iterate-fix

cont(f) ⊦ (λ x0. ∃ n. ((f ^ n))(λ x. false)(x0)) = f(λ x0. ∃ n. ((f ^ n))(λ x. false)(x0))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 15
Proof steps: 22
Used lemmas: iterate-rec, iterate-base, iterate-subseq-leq, chain-def, cont-def, cont-monotone,
Used spec theorems:
- Used simplifier rules: