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Proof step 59 from proof cyclic-floyd-def (previous step)

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

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 2, [QUANTTERMLIST : (r1)]]

Additional information

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