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Proof step 17 from proof cyclic-all-cyclic (previous step)

reachable-n(H, n, r, r), reachable-n(H, m, r, r0) ⊦ reachable-n(H, n, r0, r0)

User applied rule structural induction

And obtained the following new goals

Proof step 2:
reachable-n(H, n, r, r), reachable-n(H, 0, r, r0) ⊦ reachable-n(H, n, r0, r0)
Proof step 16:
∀ H, n, r, r0. reachable-n(H, n, r, r) ∧ reachable-n(H, m0, r, r0) → reachable-n(H, n, r0, r0), reachable-n(H, n, r, r), reachable-n(H, m0 +1, r, r0) ⊦ reachable-n(H, n, r0, r0)

Rule argument

[VARWITHVARSEQSARG : m, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : nat generated by 0, +1;])]]