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Proof step 7 from proof legal-noncylic-equiv-reaches-null (previous step)

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)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 3, [QUANTTERMLIST : (m + 1)]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (m + 1)]]