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Proof step 4 from proof path-prefix (previous step)

path(H[r].nxt ' + x0 + y, H), r ∈ H, ∀ r, y, H. path(r ' + x0 + y, H) → path(r ' + x0, H) ⊦ r = null, path(H[r].nxt ' + x0, H)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: H[r].nxt, y, H

Additional information

Used simplifier rules: a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist] Used terms: H[r].nxt, y, H