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Proof step 9 from proof iterate-subseq-leq (previous step)

monotone(f), m0 ≤ n0, monotone(f) ∧ m0 ≤ n0 → ((f ^ m0))(λ x. false) ⊆ ((f ^ n0))(λ x. false) ⊦ ((f ^ (m0 + 1)))(λ x. false) ⊆ ((f ^ (n0 + 1)))(λ x. false)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
monotone(f), m0 ≤ n0, ((f ^ m0))(λ x. false) ⊆ ((f ^ n0))(λ x. false) ⊦ ((f ^ (m0 + 1)))(λ x. false) ⊆ ((f ^ (n0 + 1)))(λ x. false)

Proof step 9 from proof iterate-subseq-leq (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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