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Proof step 3 from proof stutf-slowincrease (previous step)

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

User applied rule structural induction

And obtained the following new goals

Proof step 4:
⌜m⌝ + ⌜n0 +1⌝ < # nσ, nσ[m] + n0 +1 < nσ[m + n0 +1], stutf(nσ), ∀ nσ, m. ¬(nσ[m] + n0 < nσ[m + n0] ∧ ⌜m⌝ + ⌜n0⌝ < # nσ ∧ stutf(nσ)) ⊦

Rule argument

indvar: n

Additional information

Used simplifier rules: nat freely generated by 0, +1;;% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ ¬ n < n; (s)