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Proof step 44 from proof cyclic-brent-def (previous step)

2 ^ n = m0 + 1, reachable-n(H, m, r0, r0), reachable-n(H, m0, r, r0), m ≤ m0 + 1 ⊦ m = 0, ∃ m, n, r0. m < n ∧ reachable-n(H, m, r, r0) ∧ reachable-n(H, n, r, r0)

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (m0, m0 + m, r0) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m < m + n ↔ n ≠ 0], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ reachable-n(H, n, r, r0) ∧ reachable-n(H, n0, r0, r1) → ( ¬ reachable-n (H, n + n0, r, r1) ↔ false)])], [EXTRATERMS : (m0, m0 + m, r0)]]