Let A and B be two sets each with finite number of elements. Assume that there is an injective map from A to B and that there is an injective map from B to A. Prove that there is a bijection from A to B.

Matching exercise

    
Match the items on the right to the items on the left.
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
Picture263.png
Picture264.png
Picture265.png
Picture266.png
Picture267.png
Picture268.png