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Proof step 22 from proof reach-reachnext (previous step)

path(r ' + x, H), (r ' + x).last ∈ H, H[(r ' + x).last].nxt ∈ H ⊦ H[(r ' + x).last].nxt = null, path(r ' + (x + H[(r ' + x).last].nxt), H) ∧ (r ' + (x + H[(r ' + x).last].nxt)).last = H[(r ' + x).last].nxt

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
path(r ' + x, H), H[(r ' + x).last].nxt ∈ H, (r ' + x).last ∈ H ⊦ H[(r ' + x).last].nxt = null, path(r ' + x + H[(r ' + x).last].nxt ', H)

Rule argument

Additional information

Used simplifier rules: ⊦ (r ' + x0 + r0 ').last = r0; (s)%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]% ⊦ x0 + r = x0 + r '; (s)