| ∃ lf. lf(0) = x ∧ (∀ m. m < n0 → lf(m + 1) = nextnli(lf(m), m)) ⊦ ∃ lf. lf(0) = x ∧ (∀ m. ¬ n0 < m → lf(m + 1) = nextnli(lf(m), m)) |
∀ m. m < n0 → lf(m + 1) = nextnli(lf(m), m) ⊦ ∃ lf0. lf0(0) = lf(0) ∧ (∀ m. ¬ n0 < m → lf0(m + 1) = nextnli(lf0(m), m))