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Proof step 52 from proof add-preserves-reachable-rev (previous step)

ce.nxt ≠ r1, H[r1].nxt = H[ce.nxt].nxt, path(H[ce.nxt].nxt ' + x, H[r1, ce]), ce.nxt ∈ H[r1, ce], r1 ∈ H, (H[ce.nxt].nxt ' + x).last ∈ H[r1, ce], ce.nxt ∈ H ⊦ (H[ce.nxt].nxt ' + x).last = ce.nxt, r1 = null, ce.nxt = null, reachable(r1, (H[ce.nxt].nxt ' + x).last, H), reachable(r1, ce.nxt, H), H[r1].nxt ∈ H ∧ H[r1].nxt ≠ null

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 53:
H[r1].nxt = H[ce.nxt].nxt, r1 ∈ H, (H[r1].nxt ' + x).last ∈ H[r1, ce], path(H[r1].nxt ' + x, H[r1, ce]), ce.nxt ∈ H ⊦ (H[r1].nxt ' + x).last = ce.nxt, r1 = null, ce.nxt = null, ce.nxt = r1, reachable(r1, (H[r1].nxt ' + x).last, H), reachable(r1, ce.nxt, H), H[r1].nxt ∈ H ∧ H[r1].nxt ≠ null

Rule argument

Additional information

Used simplifier rules: In-insert: ⊦ r ∈ H[r0, ce] ↔ r = r0 ∨ r ∈ H; from specification store[linheap]