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Proof step 9 from proof lift-prop (previous step)

⊦ (⌜bv⌝ (mk(rs, f)) ∧ (∀ r. r ∈ rs → g(r) = a)) ∧ mk(rs, f, g) = ∅ ↔ (⌜bv⌝ ∧ emp)[rs, f, g]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
⊦ bv ∧ (∀ r. r ∈ rs → g(r) = a) ∧ mk(rs, f, g) = ∅ ↔ (⌜bv⌝ ∧ emp)[rs, f, g]

Rule argument

Additional information

Used simplifier rules: ⊦ ⌜bv⌝ (H) ↔ bv; (s)