Solution: Let R be an equivalence relation on a set A. Prove each of the statements in
Chapter 8, Problem 37(choose chapter or problem)
Let R be an equivalence relation on a set A. Prove each of the statements in 36–41 directly from the definitions of equivalence relation and equivalence class without using the results of Lemma 8.3.2, Lemma 8.3.3, or Theorem 8.3.4.
For all a and b in A, if b \(\in\) [a] then a R b.
Text Transcription:
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