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Proof step 28 from proof cyclic-weak-def (conclusion)

⊦ cyclic(r, H) ↔ (∀ n. ∃ r0. reachable-n(H, n, r, r0))

User applied rule case distinction

And obtained the following new goals

Proof step 15:
cyclic(r, H) ⊦ ∀ n. ∃ r0. reachable-n(H, n, r, r0)
Proof step 27:
∀ n. ∃ r0. reachable-n(H, n, r, r0) ⊦ cyclic(r, H)

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]