Given a relational schema r(A, B, C, D), does A →→ BC logically imply A →→ B and A →→ C? If yes prove it, or else give a counter example.

Database Systems: Design, Implementation, & Management
12th Edition
ISBN:9781305627482
Author:Carlos Coronel, Steven Morris
Publisher:Carlos Coronel, Steven Morris
Chapter2: Data Models
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Given a relational schema r(A, B, C, D), does A →→ BC logically imply A →→ B
and A →→ C? If yes prove it, or else give a counter example.

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