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Proof step 4 from proof cyclic-floyd-def (previous step)

∀ n0. reachable-n(H, n0 * n, r0, r0) ⊦ n = 0, n ≠ 0 ∧ reachable-n(H, n, r0, r0) ∧ reachable-n(H, 2 * n, r0, r0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ reachable-n(H, n, r, r) → (¬ reachable-n(H, n0 * n, r, r) ↔ false)
Proof step 3:
∀ n0. reachable-n(H, n0 * n, r0, r0) ⊦ n = 0, reachable-n(H, n, r0, r0)

Rule argument

[emptyarg]

Additional information

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