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Proof step 55 from proof cyclic-floyd-def (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 54:
reachable-n(H, m, r, r0), reachable-n(H, m * n, r, r1), ∀ n0. reachable-n(H, m + n0 * n, r, r0) ⊦ m = 0, n = 0, m * n ≠ 0 ∧ reachable-n(H, m * n, r, r1) ∧ reachable-n(H, 2 * m * n, r, r1)

Rule argument

[EXRARG : pos: right 3, [extquanttermlist: (m * n, r1) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (m * n, r1)]]