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Proof step 13 from proof inv-get-lslen (previous step)

leninv(nσ) = ⌜n0⌝ , max∞(λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n) = ∞, n < n0, stutf(nσ) ⊦ ⌜∞.n⌝ < # nσ

User applied rule constructor cut

And obtained the following new goals

Proof step 14:
leninv(nσ) = ⌜n0⌝ , max∞(λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n) = ∞, n0 = n1 +1, n < n0, stutf(nσ) ⊦ ⌜∞.n⌝ < # nσ

Rule argument

var: n0

Additional information

Used simplifier rules: nat freely generated by 0, +1;;% ⊦ ¬ m < 0; (s)