| ⌜m⌝ + ⌜1⌝ = leninv(nσ), m + 1 = nσ[n], ⌜n⌝ < # nσ, stutf(nσ) ⊦ m + 1 = 0, # nσ = ∞ ∧ (n < m0 ∧ ⌜m0⌝ < # nσ → nσ[m0] = m + 1) |
⌜m⌝ + ⌜1⌝ = leninv(nσ), m + 1 = nσ[n], ⌜n⌝ < # nσ, stutf(nσ) ⊦ # nσ = ∞ ∧ (n < m0 ∧ ⌜m0⌝ < # nσ → nσ[m0] = nσ[n])
Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%oz: ⊦ m + 1 ≠ 0; from specification nat-basic2