Let A be a set and I an index set where, for each i I, Ri is
Question:
(a)
is reflexive on A if and only if each Ri is reflexive on A.
(b)
is reflexive on A if and only if each Ri is reflexive on A.
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a False Let A 1 2 I l 2 R 1 1 1 R 2 2 2 Then i I R i is reflexive but neither R 1 nor R 2 is reflexive Conversely however if R i is reflexive for all actually at least one i I then i I R i is reflexive b ...View the full answer
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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