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Proof step 6 from proof rem-stays-reachable-aux2 (previous step)

H[r0].nxt = H[(r ' + x).last].nxt, path(r ' + x, H), reachable(r, r0, H), H[r0].nxt ∈ H, (r ' + x).last ∈ H, r0 ∈ H ⊦ H[r0].nxt = null, reachable(r0, (r ' + x).last, H), ∃ x0. path(r ' + x0 + H[r0].nxt ', H) ∧ ¬ r0 ∈ x0

User applied rule exists right

And obtained the following new goals

Proof step 7:
H[r0].nxt = H[(r ' + x).last].nxt, path(r ' + x, H), reachable(r, r0, H), H[r0].nxt ∈ H, (r ' + x).last ∈ H, r0 ∈ H ⊦ H[r0].nxt = null, reachable(r0, (r ' + x).last, H), path(r ' + x + H[r0].nxt ', H) ∧ ¬ r0 ∈ x

Rule argument

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

Additional information

Used terms: x