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Proof step 80 from proof inv-get-inverse (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 81:
leninv(nσ) = ⌜n0⌝ , max∞(λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n) = ⌜n1⌝ , stutf(nσ), n < n0 ⊦ nσ[n1] = n

Rule argument

Additional information

Used simplifier rules: disj: ⊦ ⌜m⌝ ≠ ∞; from specification nat-inf-basic