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Proof step 11 from proof lift-emp (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
⊦ mk(rs, f) = ∅ ∧ (∀ r. r ∈ rs → g(r) = a) ↔ mk(rs, f, g) = ∅

Rule argument

Additional information

Used simplifier rules: ⊦ emp(H) ↔ H = ∅; (s)