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Proof step 2 from proof add-preserves-reachable-rev (previous step)

H[r1].nxt = H[r2].nxt, ce.nxt = r2, reachable(r, r1, H), r2 ∈ H ⊦ reachable(r, r0, H[r1, ce]) ↔ false, r0 = r2, r2 = null, reachable(r, r2, H), reachable(r, r0, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
H[r1].nxt = H[ce.nxt].nxt, reachable(r, r1, H), reachable(r, r0, H[r1, ce]), ce.nxt ∈ H, r1 ∈ H, r0 ∈ H[r1, ce] ⊦ ce.nxt = null, r0 = ce.nxt, reachable(r, r0, H), reachable(r, ce.nxt, H)

Rule argument

Additional information

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