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Proof step 7 from proof reachable-modbehind (previous step)

path(r ' + x, H), reachable((r ' + x).last, r1, H), (r ' + x).last ∈ H, r1 ∈ H ⊦ reachable(r1, (r ' + x).last, H), ∃ x0. path(r ' + x0, H[r1, ce]) ∧ (r ' + x0).last = (r ' + x).last

User applied rule exists right

And obtained the following new goals

Proof step 8:
path(r ' + x, H), reachable((r ' + x).last, r1, H), (r ' + x).last ∈ H, r1 ∈ H ⊦ reachable(r1, (r ' + x).last, H), path(r ' + x, H[r1, ce]) ∧ (r ' + x).last = (r ' + x).last

Rule argument

pos: right 2 terms: x abort: F discard: T computed: T

Additional information

Used terms: x