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Proof step 1 from proof rem-reachable-rev (conclusion)

⊦ ce.nxt = H[H[r1].nxt].nxt ∧ r0 ≠ H[r1].nxt ∧ H[r1].nxt ∈ H ∧ H[r1].nxt ≠ null ∧ r1 ≠ null ∧ r1 ∈ H → (reachable(r, r0, H[r1, ce]) ↔ reachable(r, r0, H))

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: rem-reachable-rev-weak: ⊦ reachable(r, r0, H[r1, ce]) ∧ ce.nxt = H[H[r1].nxt].nxt ∧ r0 ≠ H[r1].nxt ∧ H[r1].nxt ∈ H ∧ H[r1].nxt ≠ null ∧ r1 ≠ null ∧ r1 ∈ H → (¬ reachable(r, r0, H) ↔ false);%rem-reachable: ⊦ reachable(r, r0, H) ∧ ce.nxt = H[H[r1].nxt].nxt ∧ r0 ≠ H[r1].nxt ∧ H[r1].nxt ∈ H ∧ H[r1].nxt ≠ null ∧ r1 ≠ null ∧ r1 ∈ H → (¬ reachable(r, r0, H[r1, ce]) ↔ false);