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Proof step 8 from proof legal-noncylic-equiv-reaches-null (previous step)

n0 = m +1, H[r0] .nxt = null, legal(H), r ∈ H, reachable-n(H, n0, r, r0) ⊦ r = null, r ≠ null ∧ r ∈ H ∧ (∃ n. reachable-n(H, n, r, r0)), ∃ r0. reachable(r, r0, H) ∧ H[r0] .nxt = null

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
H[r0] .nxt = null, legal(H), r ∈ H, reachable-n(H, m + 1, r, r0) ⊦ r = null, ∃ r0. reachable(r, r0, H) ∧ H[r0] .nxt = null, ∃ n. reachable-n(H, n, r, r0)

Rule argument

[emptyarg]

Additional information

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