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Proof step 4 from proof iterate-subseq (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
monotone(f) ⊦ (λ x. false) ⊆ f(λ x. false)

Rule argument

Additional information

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