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Proof step 12 from proof reachable-split-last (previous step)

path(r ' + x1 + r0 ', H), r0 ∈ H ⊦ r = r0, ∃ r1. reachable(r, r1, H) ∧ H[r1].nxt = r0 ∧ H[r1].nxt ≠ null

User applied rule exists right

And obtained the following new goals

Proof step 13:
path(r ' + x1 + r0 ', H), r0 ∈ H ⊦ r = r0, reachable(r, (r ' + x1).last, H) ∧ H[(r ' + x1).last].nxt = r0 ∧ H[(r ' + x1).last].nxt ≠ null

Rule argument

pos: right 2 terms: (r ' + x1).last abort: F discard: T computed: F

Additional information

Used terms: (r ' + x1).last