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Proof step 9 from proof reach-n-split (previous step)

H[r].nxt ∈ H, r ∈ H, reachable-n(H, n0 + m0, H[r].nxt, r0), reachable-n(H, m0, H[r].nxt, r1), reachable-n(H, n0, r1, r0) ⊦ r = null, H[r].nxt = null, n0 = 0, ∃ r0. reachable-1(H, r, r0) ∧ reachable-n(H, m0, r0, r1)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 4 terms: H[r].nxt

Additional information

Used simplifier rules: reachable-1-def: ⊦ reachable-1(H, r, r0) ↔ r ≠ null ∧ r0 ≠ null ∧ r ∈ H ∧ r0 ∈ H ∧ H[r].nxt = r0; Used terms: H[r].nxt