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Proof step 14 from proof rem-reachable-rev-weak (previous step)

ce.nxt = H[H[r1].nxt].nxt, (ce.nxt ' + x0).last ∈ H[r1, ce], r1 ∈ H, H[r1].nxt ∈ H, path(ce.nxt ' + x0, H[r1, ce]), ∃ x. path(ce.nxt ' + x, H) ∧ (ce.nxt ' + x).last = (ce.nxt ' + x0).last, (ce.nxt ' + x0).last ∈ H ⊦ H[r1].nxt = null, r1 = null, (ce.nxt ' + x0).last = H[r1].nxt, reachable(r1, (ce.nxt ' + x0).last, H)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
ce.nxt = H[H[r1].nxt].nxt, (ce.nxt ' + x).last = (ce.nxt ' + x0).last, (ce.nxt ' + x0).last ∈ H[r1, ce], r1 ∈ H, H[r1].nxt ∈ H, path(ce.nxt ' + x0, H[r1, ce]), path(ce.nxt ' + x, H), (ce.nxt ' + x0).last ∈ H ⊦ H[r1].nxt = null, r1 = null, (ce.nxt ' + x0).last = H[r1].nxt, reachable(r1, (ce.nxt ' + x0).last, H)

Proof step 14 from proof rem-reachable-rev-weak (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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