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Proof step 17 from proof reach-reachnext (previous step)

(r ' + x0).last = H[(r ' + []).last].nxt, path(r ' + x0, H), path(r ' + [], H), (r ' + []).last ∈ H, (r ' + x0).last = null ∨ ¬ (r ' + x0).last ∈ H ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
(r ' + x0).last = H[r].nxt, path(r ' + x0, H), r ∈ H, H[r].nxt = null ∨ ¬ H[r].nxt ∈ H ⊦ r = null

Rule argument

Additional information

Used simplifier rules: path-one: ⊦ path(r ', H) ↔ ¬ ¬(r ∈ H ∧ r ≠ null);%l: ⊦ r '.last = r; from specification list-last[reflist]%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]%app: ⊦ x0 + [] = x0; from specification list[reflist]