2. Let ƒ : A → B be a function, and ~ an equivalence relation on B. For a₁, a2 € A, we say a₁ ≈ a2 if ƒ(a₁) ~ f(a₂). Prove that ≈ is an equivalence relation.
2. Let ƒ : A → B be a function, and ~ an equivalence relation on B. For a₁, a2 € A, we say a₁ ≈ a2 if ƒ(a₁) ~ f(a₂). Prove that ≈ is an equivalence relation.
Chapter3: Graphs And Functions
Section3.5: Relations And Functions
Problem 335E: Is every relation a function? Is every function a relation?
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