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Proof step 44 from proof acyclic-rem-not-reachable (previous step)

ce.nxt = H[H[r].nxt].nxt, path(H[H[r].nxt].nxt ' + x + H[r].nxt ', H), r ∈ H, H[r].nxt ∈ H, ∀ r1. ¬ reachable(H[r1].nxt, r1, H) ⊦ H[r].nxt = H[H[r].nxt].nxt, r = H[H[r].nxt].nxt, r = null, r = H[r].nxt, H[r].nxt = null, dups(x), H[H[r].nxt].nxt ∈ x, H[r].nxt ∈ x, r ∈ x

User applied rule all left

And obtained the following new goals

Proof step 45:
ce.nxt = H[H[r].nxt].nxt, path(H[H[r].nxt].nxt ' + x + H[r].nxt ', H), r ∈ H, H[r].nxt ∈ H, ¬ reachable(H[H[r].nxt].nxt, H[r].nxt, H) ⊦ H[r].nxt = H[H[r].nxt].nxt, r = H[H[r].nxt].nxt, r = null, r = H[r].nxt, H[r].nxt = null, dups(x), H[H[r].nxt].nxt ∈ x, H[r].nxt ∈ x, r ∈ x

Rule argument

pos: left 5 terms: H[r].nxt abort: F discard: T computed: F

Additional information

Used terms: H[r].nxt