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Proof step 8 from proof cyclic-weak-def (previous step)

m + n * n0 = n1 + n ∧ n ≤ m + n * n0, reachable-n(H, m + n * n0, r, r0), reachable-n(H, m, r, r0), reachable-n(H, n1, r1, r0), reachable-n(H, n, r, r1) ⊦ n0 = 0, ∃ r0. reachable-n(H, n, r, r0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
m + n * n0 = n1 + n, reachable-n(H, n1 + n, r, r0), reachable-n(H, m, r, r0), reachable-n(H, n1, r1, r0), reachable-n(H, n, r, r1) ⊦ n0 = 0, ∃ r0. reachable-n(H, n, r, r0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m0 ≠ 0 → m ≤ m * m0 + n], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m * n = n * m], [CSIMPSEQ : ⊦ m0 * m * n = (m0 * m) * n])]]