# need to fix. please have good handwriting 3). since we know that XXE A, X na…

need to fix. please have good handwriting

3). since we know that XXE A, X na sa therefore, if aina2 *a. E[az] XE[a] by symmetricity aa~a, A2E[a ] but also aie [a ] and az [az] ~ Coy reflexivity So, [a. In = [az] iait (az] – and dit [a ] P 02] us lalu these needs to be proved. You can’t just [a.] u _z] – say them Problem 7.1 Let be an equivalence relation on a set A. As explained in class, for an element a E A, we define the “equivalence class of a” to be the subset of A described as [a] = {1 Ax~a}. 1. Prove that a E (a). 2. Prove that if an, az are two elements in A such that (ai)n (az) +0, then a, 3. Prove that if a 02, then (az) = (02). az. Proof. Answer goes here.

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