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Proof step 5 from proof inv-inverts-leq (previous step)

⌜nσ[n]⌝ < leninv(nσ), ⌜n⌝ < # nσ, stutf(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⌝ )[nσ[n]] < n ⊦

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: left 4

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