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Proof step 5 from proof cyclic-floyd-def (previous step)

∀ n0. reachable-n(H, n0 * n, r0, r0) ⊦ n = 0, ∃ n, r1. n ≠ 0 ∧ reachable-n(H, n, r0, r1) ∧ reachable-n(H, 2 * n, r0, r1)

User applied rule exists right

And obtained the following new goals

Proof step 4:
∀ n0. reachable-n(H, n0 * n, r0, r0) ⊦ n = 0, n ≠ 0 ∧ reachable-n(H, n, r0, r0) ∧ reachable-n(H, 2 * n, r0, r0)

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (n, r0)]]