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Proof step 25 from proof lsleninv-1 (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 26:
# nσ = ⌜n⌝ , nσ[n - 1] + 1 < nσ[m], ⌜m⌝ < # nσ, nσ[n - 1] < nσ[m0], nσ[m0] < nσ[m], nσ[n - 1] < nσ[m], stutf(nσ), m0 ≤ m ⊦ # nσ = ∞

Rule argument

spec: nat-inf name: elim seq: ⊦ n∞ ≠ ∞ → (n = n∞.n ↔ n∞ = ⌜n⌝ ) subst: [n∞, m] → [# nσ, m1]

Additional information

Used simplifier rules: ⊦ n∞ ≠ ∞ → (n = n∞.n ↔ n∞ = ⌜n⌝ ); (elim) Used terms: # nσ, m1