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Proof step 1 from proof min-intempty (conclusion)

⊦ s ∩ s0 = ∅ ∧ s ≠ ∅ → (s.min ∈ s0 ↔ false)

System applied rule normalize

And obtained the following new goals

Proof step 2:
s ∩ s0 = ∅ ⊦ s.min ∈ s0 ↔ false, s = ∅

Rule argument

Additional information