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Proof step 2 from proof iterate-subseq-leq (previous step)

monotone(f), 0 ≤ n ⊦ ((f ^ 0))(λ x. false) ⊆ ((f ^ n))(λ x. false)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
monotone(f) ⊦ (λ x. false) ⊆ ((f ^ n))(λ x. false)

Rule argument

Additional information

Used simplifier rules: iterate-base: ⊦ ((f ^ 0))(S) = S;% ⊦ 0 ≤ m; (s)