| ∀ m. lfgen(m)(0) = a ' ∧ iigen(m)(0) = n0 ∧ (∀ n. n ≤ m → lfgen(m)(n + 1) = nextl(iigen(m)(n), lfgen(m)(n).last) ∧ iigen(m)(n + 1) = nextj(iigen(m)(n), lfgen(m)(n).last)) ⊦ ∀ m. ∀ n. m ≤ n → lfgen(n)(m) = lfgen(m)(m) ∧ iigen(n)(m) = iigen(m)(m), ∃ lf, jj. lf(0) = a ' ∧ jj(0) = n0 ∧ (∀ n. lf(n + 1) = nextl(jj(n), lf(n).last) ∧ jj(n + 1) = nextj(jj(n), lf(n).last)) |
∀ m. lfgen(m)(0) = a ' ∧ iigen(m)(0) = n0 ∧ (∀ n. n ≤ m → lfgen(m)(n + 1) = nextl(iigen(m)(n), lfgen(m)(n).last) ∧ iigen(m)(n + 1) = nextj(iigen(m)(n), lfgen(m)(n).last)) ⊦ ∀ n. m ≤ n → lfgen(n)(m) = lfgen(m)(m) ∧ iigen(n)(m) = iigen(m)(m), ∃ lf, jj. lf(0) = a ' ∧ jj(0) = n0 ∧ (∀ n. lf(n + 1) = nextl(jj(n), lf(n).last) ∧ jj(n + 1) = nextj(jj(n), lf(n).last))