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Proof step 2 from proof not-ls-leninv (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 3:
¬ ⌜nσ[n]⌝ < leninv(nσ), ⌜n⌝ < # nσ, stutf(nσ) ⊦ ⌜nσ[n]⌝ = leninv(nσ)

Rule argument

pos: right 1

Additional information

Used simplifier rules: less-fin: ⊦ ⌜m⌝ < ⌜n⌝ ↔ m < n; from specification nat-inf%ref-1: ⊦ ¬ n < n; from specification nat-basic1