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Proof step 5 from proof cyclic-weak-def (previous step)

reachable-n(H, m, r, r0), reachable-n(H, m + n * n0, r, r0), m + n * n0 ≤ n ⊦ n0 = 0, ∃ r0. reachable-n(H, n, r, r0)

User applied rule constructor cut

And obtained the following new goals

Proof step 4:
n0 = m0 +1, reachable-n(H, m, r, r0), reachable-n(H, m + n * n0, r, r0), m + n * n0 ≤ n ⊦ n0 = 0, ∃ r0. reachable-n(H, n, r, r0)

Rule argument

[var-arg: n0]

Additional information

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