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Proof step 50 from proof cyclic-brent-def (conclusion)

⊦ cyclic(r, H) ↔ (∃ n, m, r0. m ≠ 0 ∧ m ≤ 2 ^ n ∧ reachable-n(H, 2 ^ n - 1, r, r0) ∧ reachable-n(H, m, r0, r0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
⊦ cyclic(r, H) ↔ (∃ n, m, r0. m ≠ 0 ∧ m ≤ 2 ^ n ∧ reachable-n(H, 2 ^ n - 1, r, r0) ∧ reachable-n(H, m, r0, r0))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]