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Proof step 10 from proof cyclic-alt-def (previous step)

n = n1 + m ∧ m ≤ n, m < n, reachable-n(H, n, r, r0), reachable-n(H, n1, r0, r0), reachable-n(H, m, r, r0) ⊦ ∃ m, r0. 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 9:
reachable-n(H, n1 + m, r, r0), reachable-n(H, n1, r0, r0), reachable-n(H, m, r, r0) ⊦ n1 = 0, ∃ m, r0. reachable-n(H, m, r, r0) ∧ (∃ n. n ≠ 0 ∧ (∀ n0. reachable-n(H, m + n0 * n, r, r0)))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m < m + n ↔ n ≠ 0], [CSIMPSEQ : ⊦ m < n → m ≤ n])]]