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Proof step 17 from proof cyclic-alt-def (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 16:
reachable-n(H, m, r, r0), ∀ n0. reachable-n(H, m + n0 * n, r, r0) ⊦ n = 0, m < m + n ∧ reachable-n(H, m, r, r0) ∧ reachable-n(H, m + n, r, r0)

Rule argument

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

Additional information

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