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Proof step 28 from proof nu-is-UN (previous step)

S(x), monotone(compl(f)), monotone(f), S ⊆ f(S), ∀ S. compl(f)(S) ⊆ S → S(x) ⊦

User applied rule all left

And obtained the following new goals

Proof step 29:
S(x), monotone(f), monotone(compl(f)), S ⊆ f(S), compl(f)(λ x0. ¬ S(x0)) ⊆ (λ x0. ¬ S(x0)) → ¬ S(x) ⊦

Rule argument

pos: left 5 terms: λ x0. ¬ S(x0) abort: F discard: T computed: F

Additional information

Used terms: λ x0. ¬ S(x0)