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Proof step 7 from proof inv-get-inverse (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
leninv(nσ) = ∞, stutf(nσ) ⊦ nσ[max∞(λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n).n] = n

Rule argument

Additional information

Used simplifier rules: ⊦ ⌜m⌝ < ∞; (s)% ⊦ ⌜nnf⌝ [n] = nnf(n); (s)