| # nσ = ⌜inv(nσ)[n]⌝ + ⌜1⌝ , ⌜m⌝ = leninv(nσ), ⌜n⌝ + ⌜1⌝ < leninv(nσ), stutf(nσ) ⊦ |
# nσ = ⌜inv(nσ)[n]⌝ + ⌜1⌝ , ⌜m⌝ = leninv(nσ), 1 + n < m, stutf(nσ) ⊦
Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%add-comm: ⊦ n∞1 + n∞2 = n∞2 + n∞1; from specification nat-inf%add-assoc: ⊦ (n∞ + n∞1) + n∞2 = n∞ + n∞1 + n∞2; from specification nat-inf% ⊦ ⌜n⌝ + ⌜m⌝ < ⌜n0⌝ ↔ n + m < n0; (s)