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Proof step 63 from proof add-preserves-reachable-rev (previous step)

H[r1].nxt = H[ce.nxt].nxt, path(H[r].nxt ' + x0, H[r1, ce]), reachable(r, r1, H), reachable(H[r].nxt, ce.nxt, H), ce.nxt ∈ H, r1 ∈ H, (H[r].nxt ' + x0).last ∈ H[r1, ce], r ∈ H[r1, ce] ⊦ (H[r].nxt ' + x0).last = ce.nxt, ce.nxt = null, r = null, r = r1, reachable(r, ce.nxt, H), reachable(r, (H[r].nxt ' + x0).last, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 64:
H[r1].nxt = H[ce.nxt].nxt, path(H[r].nxt ' + x0, H[r1, ce]), reachable(H[r].nxt, ce.nxt, H), reachable(r, r1, H), (H[r].nxt ' + x0).last ∈ H[r1, ce], r ∈ H, ce.nxt ∈ H, r1 ∈ H ⊦ (H[r].nxt ' + x0).last = ce.nxt, ce.nxt = null, r = r1, r = null, reachable(r, (H[r].nxt ' + x0).last, H), reachable(r, ce.nxt, H)

Rule argument

Additional information

Used simplifier rules: reach-alloc: ⊦ reachable(r, r1, H) → r1 ∈ H;% ⊦ r ≠ r0 → (r ∈ H[r0, ce] ↔ r ∈ H); (s)