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Proof step 7 from proof cyclic-alt-def (previous step)

reachable-n(H, n1 + m, r, r0), reachable-n(H, n1, r0, r0), reachable-n(H, m, r, r0) ⊦ n1 = 0, ∃ n. n ≠ 0 ∧ (∀ n0. reachable-n(H, m + n0 * n, r, r0))

User applied rule exists right

And obtained the following new goals

Proof step 6:
reachable-n(H, n1 + m, r, r0), reachable-n(H, n1, r0, r0), reachable-n(H, m, r, r0) ⊦ n1 = 0, n1 ≠ 0 ∧ (∀ n0. reachable-n(H, m + n0 * n1, r, r0))

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (n1)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (n1)]]