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Proof step 3 from proof reachable-addnew-rev (previous step)

reachable(r, r1, H[r2, ce]), r ∈ H ⊦ ∃ r0. reachable(r, r0, H) ∧ H[r0].nxt = r2 ∧ H[r0].nxt ≠ null ∧ (r1 = H[r0].nxt ∨ reachable(ce.nxt, r1, H)), reachable(r, r1, H), r2 ∈ H

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
reachable(r, r1, H[r2, ce]), r ∈ H, r1 ∈ H[r2, ce] ⊦ reachable(r, r1, H), r2 ∈ H, ∃ r0. reachable(r, r0, H) ∧ H[r0].nxt = r2 ∧ H[r0].nxt ≠ null ∧ (r1 = H[r0].nxt ∨ reachable(ce.nxt, r1, H))

Rule argument

Additional information

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