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Proof step 10 from proof cyclic-all-cyclic (previous step)

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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
H[r] .nxt ∈ H, r ∈ H, reachable-n(H, m0, H[r] .nxt, r0), reachable-n(H, m + 1, r, r) ⊦ r = null, H[r] .nxt = null, reachable-n(H, m + 1, H[r] .nxt, H[r] .nxt), reachable-n(H, m + 1, r0, r0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m +1 = m + 1])]]