Question

10. IA B, prove that Ax C B x C for any set C.​

Answer 1

Answer:

If X,Y are nonempty then so is X×Y and the projection functions π1:X×Y→X, π2:X×Y→Y are surjections.

Thus, if A,B,C are nonempty and A×B⊆A×C, then B=π2(A×B)⊆π2(A×C)=C.

Step-by-step explanation:

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