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Proof step 22 from proof rem-stays-reachable-aux2 (previous step)

reachable(r, (r ' + x).last, H), 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) ∧ ¬ reachable(r0, (r ' + x).last, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
reachable(r, (r ' + x).last, H), path(r ' + x + H[r0].nxt ', H), reachable(r, r0, H), H[r0].nxt ∈ H, r0 ∈ H, reachable(r0, (r ' + x).last, H), (r ' + x).last ∈ H ⊦ H[r0].nxt = null, r0 = r, r0 ∈ x

Rule argument

Additional information

Used simplifier rules: reach-alloc: ⊦ reachable(r, r1, H) → r1 ∈ H;