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Proof step 10 from proof reach-reachnext (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 11:
H[(r ' + x).last].nxt ∈ H, path(r ' + x, H), (r ' + x).last ∈ H ⊦ H[(r ' + x).last].nxt = null, path(r ' + (x + H[(r ' + x).last].nxt), H) ∧ (r ' + (x + H[(r ' + x).last].nxt)).last = H[(r ' + x).last].nxt

Rule argument

pos: right 2 terms: x + H[(r ' + x).last].nxt abort: F discard: T computed: F

Additional information

Used terms: x + H[(r ' + x).last].nxt