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Proof step 8 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, reachable-n(H, m, r, r0) ∧ (∃ n. n ≠ 0 ∧ (∀ n0. reachable-n(H, m + n0 * n, r, r0)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
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))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]