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Proof step 4 from proof not-ls-leninv (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 5:
⌜n⌝ < # nσ, stutf(nσ) ⊦ leninv(nσ) < ⌜nσ[n]⌝ , ⌜nσ[n]⌝ = leninv(nσ), ⌜nσ[n]⌝ < leninv(nσ)

Rule argument

fma: leninv(nσ) < ⌜nσ[n]⌝

Additional information

Used simplifier rules: leq-leninv: ⊦ ⌜n⌝ < # nσ ∧ stutf(nσ) → (leninv(nσ) < ⌜nσ[n]⌝ ↔ false); Used formulas: leninv(nσ) < ⌜nσ[n]⌝