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Proof step 32 from proof rem-stays-reachable-aux1 (previous step)

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

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 5 terms: x0 + H[r0].nxt '

Additional information

Used simplifier rules: a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]% ⊦ (r ' + x0 + r0 ').last = r0; (s) Used terms: x0 + H[r0].nxt '