Question

Prove that A C B and CCD → (AXC) C (B X D).

​

Answer 1

For a given value x, if A ⊆ B, then x ∈ A and x ∈ B. For a given value x, if C ⊆ D, then x i∈ C and x ∈ D. Cartesian product of (A, C) means that all ordered pairs, (a, c) are included. Cartesian product of (B, D) means that all ordered pairs, (b, d) are included. A X C ⊆ B X D

Source https://www.physicsforums.com/threads/discrete-m-show-that-if-a-b-and-c-d-then-a-x-c-b-x-d.838481/

Answer 2

For a given value x, if A ⊆ B, then x ∈ A and x ∈ B. For a given value x, if C ⊆ D, then x i∈ C and x ∈ D. Cartesian product of (A, C) means that all ordered pairs, (a, c) are included. Cartesian product of (B, D) means that all ordered pairs, (b, d) are included

I hope you understand and it will be help you ❤️