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Proof step 7 from proof stutf-notbig (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
nσ[0] = 0, ⌜n0⌝ + ⌜1⌝ < # nσ, n0 + 1 < nσ[n0 + 1], ⌜n0⌝ < # nσ, nσ[n0] ≤ n0, ∀ n. ⌜n⌝ + ⌜1⌝ < # nσ → nσ[n + 1] = nσ[n] ∨ nσ[n + 1] = nσ[n] + 1 ⊦ nσ[n0 + 1] = 0, nσ = []

Proof step 7 from proof stutf-notbig (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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