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Proof step 9 from proof reachable-addnew (previous step)

path(r ' + x, H), x.last ∈ H ⊦ x = [], r2 ∈ H, ∃ x0. path(r ' + x0, H[r2, ce]) ∧ (r ' + x0).last = x.last

User applied rule exists right

And obtained the following new goals

Proof step 10:
path(r ' + x, H), x.last ∈ H ⊦ x = [], r2 ∈ H, path(r ' + x, H[r2, ce]) ∧ (r ' + x).last = x.last

Rule argument

pos: right 3 terms: x abort: F discard: T computed: F

Additional information

Used terms: x