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Proof step 24 from proof cont-iterate-fix (previous step)

monotone(f), f(((f ^ n0))(λ x. false))(x), ∀ x. f(λ x0. ∃ n. ((f ^ n))(λ x. false)(x0))(x) ↔ (∃ n. f(((f ^ n))(λ x. false))(x)) ⊦ ∃ n. f(((f ^ n))(λ x. false))(x), f(λ x0. ∃ n. ((f ^ n))(λ x. false)(x0))(x)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: n0

Additional information

Used terms: n0