Proof: Let A and B be any sets.   (A − B) ∩ B = (A ∩ Bc ) ∩ B by the _______ law

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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  1. For all sets A and B, (A − B) ∩ B = ∅.  
  1. Complete the proof begun below in which the given statement is derived algebraically from the properties on the attached sheet. Be sure to give a reason for every step that exactly justifies what was done in the step:  
    Proof: Let A and B be any sets.  
  1. (A − B) ∩ B = (A ∩ Bc ) ∩ B by the _______ law 
  1. _____ = ______by the ______ law 
  1. _____ = ______by the ______ law 
  1. _____ = ______by the ______ law 
  1. _____ = ______by the ______ law 
    The number of lines in the outline shown above are just meant to be suggestive. To complete the proof you may need more or less.  Use however many lines that you need 
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