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Proof step 7 from proof iterate-is-fix (previous step)

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

User applied rule all left

And obtained the following new goals

Proof step 8:
cont(f), monotone(f), f(λ x. ∃ n. ((f ^ n))(λ x. false)(x)) ⊆ (λ x. ∃ n. ((f ^ n))(λ x. false)(x)) → (∃ n. ((f ^ n))(λ x. false)(x)) ⊦ ∃ n. ((f ^ n))(λ x. false)(x)

Rule argument

pos: left 3 terms: λ x. ∃ n. ((f ^ n))(λ x. false)(x) abort: F discard: T computed: F

Additional information

Used terms: λ x. ∃ n. ((f ^ n))(λ x. false)(x)