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Proof step 215 from proof rem-stays-reachable-aux2 (previous step)

path(r ' + x + H[r0].nxt ', H), reachable(r, r0, H), r0 ∈ H, H[r0].nxt ∈ H ⊦ H[r0].nxt = null, r0 = r, r0 ∈ x, ∃ x0. path(r ' + x0, H) ∧ (r ' + x0).last = (r ' + x).last

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 4 terms: x

Additional information

Used simplifier rules: path-prefix: ⊦ path(r ' + x + y, H) → (path(r ' + x, H) ↔ true);%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist] Used terms: x