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Proof step 26 from proof lift-emp (previous step)

∀ r0. ¬ r0 ∈ rs ⊦ r ∈ rs, mk(rs, f) = ∅ ∧ (r ∈ rs → g(r) = a)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information