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Proof step 11 from proof cyclic-all-cyclic (previous step)

H[r] .nxt ∈ H, r ∈ H, reachable-n(H, m0, H[r] .nxt, r0), reachable-n(H, n, r, r) ⊦ r = null, H[r] .nxt = null, reachable-n(H, n, H[r] .nxt, H[r] .nxt), reachable-n(H, n, r0, r0)

User applied rule constructor cut

And obtained the following new goals

Proof step 10:
n = m +1, H[r] .nxt ∈ H, r ∈ H, reachable-n(H, m0, H[r] .nxt, r0), reachable-n(H, n, r, r) ⊦ r = null, H[r] .nxt = null, reachable-n(H, n, H[r] .nxt, H[r] .nxt), reachable-n(H, n, r0, r0)

Rule argument

[var-arg: n]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : nat generated by 0, +1;], [CSIMPSEQ : ⊦ reachable-n(H, 0, r, r0) ↔ r = r0])]]