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Proof step 2 from proof stutf-slowincrease (previous step)

⌜m⌝ + ⌜n⌝ < # nσ, stutf(nσ) ⊦ nσ[m + n] ≤ nσ[m] + n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
nσ[m] + n < nσ[m + n], ⌜m⌝ + ⌜n⌝ < # nσ, stutf(nσ) ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)