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Proof step 81 from proof inv-get-inverse (previous step)

leninv(nσ) = ⌜n0⌝ , max∞(λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n) = ⌜n1⌝ , stutf(nσ), n < n0 ⊦ nσ[n1] = n

User applied rule constructor cut

And obtained the following new goals

Proof step 82:
n0 = n2 +1, leninv(nσ) = ⌜n0⌝ , max∞(λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n) = ⌜n1⌝ , stutf(nσ), n < n0 ⊦ nσ[n1] = n

Rule argument

var: n0

Additional information

Used simplifier rules: nat freely generated by 0, +1;;%zero-01: ⊦ ¬ m < 0; from specification nat-basic1