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Proof step 11 from proof iterate-is-fix (previous step)

cont(f), monotone(f) ⊦ ∀ x. f(λ x. ∃ n. ((f ^ n))(λ x. false)(x))(x) → (∃ n. ((f ^ n))(λ x. false)(x)), ∃ n. ((f ^ n))(λ x. false)(x)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information