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Proof step 18 from proof add-preserves-reachable (previous step)

H[r1].nxt = H[ce.nxt].nxt, path(H[r1].nxt ' + x0, H), reachable(H[r1].nxt, r1, H), ce.nxt ∈ H, r1 ∈ H, reachable(H[r1].nxt, ce.nxt, H) ∨ reachable(H[r1].nxt, (H[r1].nxt ' + x0).last, H[r1, ce]) ⊦ ce.nxt = null, r1 = null, reachable(r1, ce.nxt, H), reachable(r1, (H[r1].nxt ' + x0).last, H[r1, ce])

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: left 6

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