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Theorem rem-stays-reachable-aux1

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

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