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The concept of multiple-conclusion consequence relation from  and  is considered. The closure operation C assigning to any binary relation r (dened on the power set of a set of all formulas of a given language) the least multiple-conclusion consequence relation containing r, is dened on the grounds of a natural Galois connection. It is shown that the very closure C is an isomorphism from the power set algebra of a simple binary relation to the Boolean algebra of all multiple-conclusiondoi:10.18778/0138-0680.48.4.05 fatcat:s3k276r74fal5behb56dewprsm