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Proof step 66 from proof rem-stays-reachable-aux (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 67:
ce.nxt = H[H[r].nxt].nxt, path(ce.nxt ' + x0 + H[r].nxt ', H), r ∈ H, H[r].nxt ∈ H ⊦ r = ce.nxt, r = null, H[r].nxt = null, H[r].nxt = ce.nxt, r ∈ x0, path(r ' + ce.nxt ' + x0 + H[r].nxt ', H[r, ce]) ∧ (r ' + ce.nxt ' + x0 + H[r].nxt ').last = H[r].nxt

Rule argument

pos: right 6 terms: ce.nxt ' + x0 + H[r].nxt ' abort: F discard: T computed: F

Additional information

Used terms: ce.nxt ' + x0 + H[r].nxt '