Problem 9. Let R be an equivalence relation on a set A. Prove the following statement directly from the definitions of equivalence relation and equivalence class. For every a and b in A if be [a] then a R b.
Problem 9. Let R be an equivalence relation on a set A. Prove the following statement directly from the definitions of equivalence relation and equivalence class. For every a and b in A if be [a] then a R b.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Problem 9. Let R be an equivalence relation on a set A. Prove the following statement
directly from the definitions of equivalence relation and equivalence class.
For every a and b in A if b = [a] then a R b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28fbeab7-1d57-40a7-9ffb-c1f85476349e%2Ff5ac7733-b3c1-4bf9-a7f0-3837f4efcf41%2F386ecn_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 9. Let R be an equivalence relation on a set A. Prove the following statement
directly from the definitions of equivalence relation and equivalence class.
For every a and b in A if b = [a] then a R b.
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