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If{x:p1 (x)} ={x:p2(x)}, show each x,p1(...

If`{x:p_1 (x)} ={x:p_2(x)}`, show each `x,p_1(x) `and` p_2(x)` have the same truth value.

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Given that `{x:p_1(x)}={x:p_2(x)}`
`:.The two sets have the same element. So `P_1(x)!=P_2(x)` i.e., they have same truth value.
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