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Proof step 26 from proof cyclic-brent-def (previous step)

reachable-n(H, n0, r0, r0), cyclic(r0, H), 2 ^ m0 ≤ n0, n0 < 2 ^ m0 * 2, 2 ^ m0 < 2 ^ m0 * 2 ⊦ n0 = 0, ∃ n. ¬ 2 ^ n ≤ n0, ∃ n, m, r1. m ≠ 0 ∧ m ≤ 2 ^ n ∧ reachable-n(H, 2 ^ n - 1, r0, r1) ∧ reachable-n(H, m, r1, r1)

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (m0 + 1)abort:F, discard:T, computed:F]]

Additional information

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