#1. Let 𝑓: 𝑋 → π‘Œ be a function on 𝑋 into π‘Œ. Define a relation 𝜌 on 𝑋 by π‘₯1𝜌π‘₯2, if and only if, 𝑓(π‘₯1) = 𝑓(π‘₯2). Then 𝜌 is an equivalence relation on 𝑋.

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