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Proof step 7 from proof modified-stays-reachable (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information