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Proof step 52 from proof cyclic-floyd-def (previous step)

reachable-n(H, m, r, r0), reachable-n(H, m * n, r, r1), reachable-n(H, m + 1 * n, r, r0), ∀ n0. reachable-n(H, m + n0 * n, r, r0) ⊦ m = 0, n = 0, reachable-n(H, 2 * m * n, r, r1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 51:
reachable-n(H, m, r, r0), reachable-n(H, m * n, r, r1), reachable-n(H, n + m, r, r0), ∀ n0. reachable-n(H, m + n0 * n, r, r0) ⊦ m = 0, n = 0, reachable-n(H, 2 * m * n, r, r1)

Rule argument

[emptyarg]

Additional information

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