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Proof step 5 from proof add-preserves-reachable-rev (previous step)

H[r1].nxt = H[ce.nxt].nxt, reachable(r, r1, H), r0 ∈ H[r1, ce], r1 ∈ H, ce.nxt ∈ H, ∃ x. path(r ' + x, H[r1, ce]) ∧ (r ' + x).last = r0 ⊦ ce.nxt = null, r0 = ce.nxt, reachable(r, ce.nxt, H), reachable(r, r0, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
H[r1].nxt = H[ce.nxt].nxt, path(r ' + x, H[r1, ce]), reachable(r, r1, H), ce.nxt ∈ H, r1 ∈ H, (r ' + x).last ∈ H[r1, ce] ⊦ (r ' + x).last = ce.nxt, ce.nxt = null, reachable(r, (r ' + x).last, H), reachable(r, ce.nxt, H)

Proof step 5 from proof add-preserves-reachable-rev (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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