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Proof step 13 from proof iterate-subseq (previous step)

monotone(f), monotone(f) → ((f ^ n0))(λ x. false) ⊆ ((f ^ (n0 + 1)))(λ x. false) ⊦ f(((f ^ n0))(λ x. false)) ⊆ f(f(((f ^ n0))(λ x. false)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information