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Proof step 11 from proof cyclic-brent-def (previous step)

2 ^ n = m0 + 1, n0 ≤ m0, m ≤ m0, reachable-n(H, m0, r, r1), reachable-n(H, n0 + m, r, r0), reachable-n(H, n0, r0, r0), reachable-n(H, m, r, r0), cyclic(r, H) ⊦ n0 = 0, ∃ 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 obtained the following new goals

Proof step 10:
2 ^ n = m0 + 1, n0 ≤ m0, m ≤ m0, reachable-n(H, m0, r, r1), reachable-n(H, n0 + m, r, r0), reachable-n(H, n0, r0, r0), reachable-n(H, m, r, r0), cyclic(r, H) ⊦ n0 = 0, n0 ≠ 0 ∧ n0 ≤ 2 ^ n ∧ reachable-n(H, 2 ^ n - 1, r, r1) ∧ reachable-n(H, n0, r1, r1)

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (n, n0, r1) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (n, n0, r1)]]