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Proof step 4 from proof inv-get-inverse (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
stutf(nσ), ⌜n⌝ < leninv(nσ) ⊦ nσ[(leninv(nσ) = ∞ ⊃ ⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ ;⌜(λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n) to leninv(nσ).n⌝ )[n]] = n

Rule argument

Additional information

Used simplifier rules: to-inf: ⊦ ⌜nnf⌝ to n = ⌜nnf to n⌝ ; from specification stream[natstream]