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Proof step 28 from proof rem-stays-reachable-aux1 (previous step)

path(H[H[r0].nxt].nxt ' + x0 + H[r0].nxt ', H), H[r0].nxt ∈ H, r0 ∈ H ⊦ r0 = H[H[r0].nxt].nxt, H[r0].nxt = null, H[r0].nxt = H[H[r0].nxt].nxt, r0 ∈ x0, reachable(H[H[r0].nxt].nxt, H[r0].nxt, H) ∧ ¬ reachable(H[H[r0].nxt].nxt, r0, H)

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 5

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