| # nσ = ∞, max∞(λ n0. nσ[n0] = n) = ∞, n < nσ[m1], max∞(λ n0. nσ[n0] = n).n + m + 1 < max∞(λ n0. nσ[n0] = n + 1).n, stutf(nσ), ∀ m0. m1 < m0 → nσ[m0] = nσ[m1] + 1 ⊦ nσ[max∞(λ n0. nσ[n0] = n).n + m + 1] = n + 1 |
# nσ = ∞, max∞(λ n0. nσ[n0] = n) = ∞, ∞.n + m + 1 < max∞(λ n0. nσ[n0] = n + 1).n, n < nσ[m1], stutf(nσ), ∀ m0. m1 < m0 → nσ[m0] = nσ[m1] + 1 ⊦ nσ[∞.n + m + 1] = n + 1