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Proof step 2 from proof less-leninv (previous step)

# nσ = ∞, nσ[n + 1] = nσ[n] + 1, stutf(nσ) ⊦ ⌜nσ[n]⌝ < leninv(nσ)

User applied rule structural induction

And obtained the following new goals

Proof step 3:
⌜m⌝ = leninv(nσ), # nσ = ∞, nσ[n + 1] = nσ[n] + 1, stutf(nσ) ⊦ ⌜nσ[n]⌝ < leninv(nσ)

Rule argument

term: leninv(nσ)

Additional information

Used simplifier rules: natinf freely generated by ∞, ⌜ ⌝;;%less-inf2: ⊦ ⌜m⌝ < ∞; from specification nat-inf