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Proof step 19 from proof rem-stays-reachable-aux2 (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 20:
path(r ' + x + H[r0].nxt ', H), reachable(r, r0, H), H[r0].nxt ∈ H, r0 ∈ H ⊦ H[r0].nxt = null, r0 = r, r0 ∈ x, reachable(r, (r ' + x).last, H) ∧ H[r0].nxt = H[(r ' + x).last].nxt ∧ ¬ reachable(r0, (r ' + x).last, H)

Rule argument

pos: right 4 terms: (r ' + x).last abort: F discard: T computed: F

Additional information

Used terms: (r ' + x).last