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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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