| # lf(n0) = ii(n0), lf(0) = [], ii(0) = 0, n3 < # nextli0(lf(n0)), ∀ n. ∃ m. ii(m) ≤ n ∧ n < ii(m + 1), ∀ x. nextli(x) = x + nextli0(x), ∀ n. lf(n + 1) = nextli(lf(n)), ∀ m, n. m ≤ n → ii(m) ≤ ii(n), ∀ n. n < # nextli0(lf(n0)) → nf(n + ii(n0)) = nextli0(lf(n0))[n], ∀ n. n < ii(n0) → lf(n0)[n] = nf(n), ∀ n. ii(n + 1) = ii(n) + # nextli0(lf(n)) ∧ (nf from ii(n)) to # nextli0(lf(n)) = nextli0(lf(n)) ⊦ ii(n0) + # nextli0(lf(n0)) = 0, nextli0(lf(n0)) = [], nextli0(lf(n0))[n3] = nf(n3 + ii(n0)) |
Used terms: n3