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Theorem rem-stays-reachable-aux2

reachable(r, r0, H), H[r0].nxt ≠ null, H[r0].nxt ∈ H ⊦ (∃ r1. reachable(r, r1, H) ∧ H[r0].nxt = H[r1].nxt ∧ ¬ reachable(r0, r1, H)) ↔ (∃ x. path(r ' + x + H[r0].nxt ', H) ∧ r0 ≠ r ∧ ¬ r0 ∈ x)

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