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Proof step 7 from proof to-unwind-end (previous step)

⌜n⌝ < ⌜1⌝ + # σ0 ⊦ ⌜a '⌝ + σ0 = [], n = 0, σ0 to n = (σ0 to (n - 1)) + ⌜(⌜a '⌝ + σ0)[n] '⌝

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
n = m + 1, ⌜n⌝ < ⌜1⌝ + # σ0 ⊦ ⌜a '⌝ + σ0 = [], n = 0, σ0 to n = (σ0 to m) + ⌜(⌜a '⌝ + σ0)[n] '⌝

Rule argument

spec: nat name: elim-pred-c seq: n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1 subst: [n, m] → [n, m]

Additional information

Used simplifier rules: n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1; (elim) Used terms: n, m