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Proof step 30 from proof inv-inverts-leq (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
⌜nσ[n]⌝ < leninv(nσ), ⌜n⌝ < # nσ, stutf(nσ), ((λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n) to leninv(nσ).n)[nσ[n]] < n ⊦ leninv(nσ) = ∞

Rule argument

Additional information

Used simplifier rules: sel-fin: ⊦ ⌜nl⌝ [n] = nl[n]; from specification stream[natstream]