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Proof step 15 from proof reachable-addnewtonull-rev (previous step)

ce.nxt = null, path(H[r].nxt ' + x0, H[r2, ce]), (H[r].nxt ' + x0).last ∈ H, r ∈ H, ∀ ce, r, H, r2. ce.nxt = null ∧ path(r ' + x0, H[r2, ce]) ∧ (r ' + x0).last ∈ H → path(r ' + x0, H) ∨ r2 ∈ H ⊦ r = null, path(H[r].nxt ' + x0, H), r2 ∈ H

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 5 terms: ce, H[r].nxt, H, r2

Additional information

Used terms: ce, H[r].nxt, H, r2