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Proof step 5 from proof cyclic-ncyclic (previous step)

∀ H, n, r. reachable-n(H, n, r, r) → reachable-n(H, n1 * n, r, r), reachable-n(H, n, r, r) ⊦ reachable-n(H, n1 +1 * n, r, r)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
reachable-n(H, n, r, r), ∀ H, n, r. reachable-n(H, n, r, r) → reachable-n(H, n1 * n, r, r) ⊦ reachable-n(H, n * n1 + n, r, r)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m * n = n * m], [CSIMPSEQ : ⊦ m0 * m * n = (m0 * m) * n], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m * (n + 1) = m * n + m], [CSIMPSEQ : ⊦ m +1 = m + 1])]]