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Proof step 28 from proof cyclic-brent-def (previous step)

m < 2 ^ m0 * 2, m1 < m0, 2 ^ m1 < 2 ^ m1 * 2, m < 2 ^ m1 * 2, 2 ^ m1 ≤ m, reachable-n(H, n0 + m, r, r0), reachable-n(H, n0, r0, r0), reachable-n(H, m, r, r0), cyclic(r, H), 2 ^ m0 ≤ n0, n0 < 2 ^ m0 * 2, 2 ^ m0 < 2 ^ m0 * 2, 2 ^ m1 * 2 ≤ n0, 2 ^ m1 < n0, m < n0, 2 ^ m1 + 1 < 2 ^ m0 * 2, 2 ^ m1 < 2 ^ m0 * 2, m + 1 < 2 ^ m0 * 2 ⊦ ∃ n. ¬ 2 ^ n ≤ n0 ∧ ¬ 2 ^ n ≤ m, ∃ n, m, r0. m ≠ 0 ∧ m ≤ 2 ^ n ∧ reachable-n(H, 2 ^ n - 1, r, r0) ∧ reachable-n(H, m, r0, r0)

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 1, [extquanttermlist: (m0 + 1)abort:F, discard:T, computed:F]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m * n = n * m], [CSIMPSEQ : ⊦ m ^ (n + n0) = m ^ n * m ^ n0], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ m < n → (n ≤ m ↔ false)])], [EXTRATERMS : (m0 + 1)]]