Let R be an equivalence relation on a set A. Prove each of the statements in 3641
Chapter 8, Problem 41(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 a \(\in\) [b] then [a] = [b].
Text Transcription:
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