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Proof step 8 from proof stutf-slowincrease (previous step)

nσ ≠ [] ∧ nσ[0] = 0 ∧ (∀ n. ⌜n⌝ + ⌜1⌝ < # nσ → nσ[n + 1] = nσ[n] ∨ nσ[n + 1] = nσ[n] + 1), nσ[m] + n0 + 1 < nσ[m + n0 + 1], ⌜m⌝ + ⌜n0⌝ + ⌜1⌝ < # nσ, ⌜m⌝ + ⌜n0⌝ < # nσ, nσ[m + n0] ≤ nσ[m] + n0 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
nσ[0] = 0, nσ[m] + n0 + 1 < nσ[m + n0 + 1], ⌜m⌝ + ⌜n0⌝ + ⌜1⌝ < # nσ, ⌜m⌝ + ⌜n0⌝ < # nσ, nσ[m + n0] ≤ nσ[m] + n0, ∀ n. ⌜n⌝ + ⌜1⌝ < # nσ → nσ[n + 1] = nσ[n] ∨ nσ[n + 1] = nσ[n] + 1 ⊦ nσ = []

Proof step 8 from proof stutf-slowincrease (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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