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Proof step 19 from proof frommodified (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information