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Proof step 5 from proof reachable-n-rec-strong (previous step)

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

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 3 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