Complete the proof of the following: If A, B, C, and D are sets, then ( A × B ) ∩ ( C × D ) = ( A ∩ C ) × ( B ∩ D ).
Complete the proof of the following: If A, B, C, and D are sets, then ( A × B ) ∩ ( C × D ) = ( A ∩ C ) × ( B ∩ D ).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 16E: In Exercises , prove each statement.
16. If and , then .
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15 c) Complete the proof of the following:
If A, B, C, and D are sets, then
( A × B ) ∩ ( C × D ) = ( A ∩ C ) × ( B ∩ D ).
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