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Proof step 67 from proof cyclic-floyd-def (previous step)

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

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 2, [QUANTTERMLIST : (n, 2 * n, r0)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m * n = n * m], [CSIMPSEQ : ⊦ m0 ≠ 0 → (m0 < m0 * m ↔ 1 < m)], [CSIMPSEQ : ⊦ m0 * m * n = (m0 * m) * n])], [EXTRATERMS : (n, 2 * n, r0)]]