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Theorem union-sub-rem-inter-empty

⊦ s0 ∩ s2 = ∅ ∧ s1 ∩ s2 = ∅ → (s0 ∪ s1 ⊆ s3 \ s2 ↔ s0 ∪ s1 ⊆ s3)

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Infos about the proof