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Proof step 27 from proof lsleninv-1 (previous step)

# nσ = ⌜n⌝ , m0 < n, m < n, nσ[n - 1] < nσ[m], nσ[n - 1] + 1 < nσ[m], nσ[m0] < nσ[m], nσ[n - 1] < nσ[m0], stutf(nσ), m0 ≤ m ⊦

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 28:
# nσ = ⌜n⌝ , n = m1 + 1, nσ[m1] < nσ[m0], nσ[m0] < nσ[m], nσ[m1] + 1 < nσ[m], nσ[m1] < nσ[m], m < n, m0 < n, stutf(nσ), m0 ≤ m ⊦ n = 0

Rule argument

spec: nat name: elim-pred-c seq: n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1 subst: [n, m] → [n, m1]

Additional information

Used simplifier rules: stutf-nonempty: ⊦ stutf(nσ) → (nσ = [] ↔ false);% ⊦ # nσ = ⌜0⌝ ↔ nσ = []; (s)%n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1; (elim) Used terms: n, m1