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Proof step 13 from proof monls-mon-implies-monls (previous step)

⌜n⌝ + ⌜1⌝ < # lim(nσf), mon(nσf), lim(nσf)[n + 1] ≤ lim(nσf)[n], ∀ n. mon<(nσf(n)), ∀ n. nσf(n) ⊑ lim(nσf), ¬ # lim(nσf) < ⌜n⌝ + ⌜2⌝ → lim(nσf) to n + 2 ⊑ nσf(n0) ⊦ # lim(nσf) < ⌜n⌝ + ⌜2⌝

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
⌜n⌝ + ⌜1⌝ < # lim(nσf), mon(nσf), lim(nσf)[n + 1] ≤ lim(nσf)[n], lim(nσf) to n + 2 ⊑ nσf(n0), ∀ n. mon<(nσf(n)), ∀ n. nσf(n) ⊑ lim(nσf) ⊦ # lim(nσf) < ⌜n⌝ + ⌜2⌝

Proof step 13 from proof monls-mon-implies-monls (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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