Consider an arbitrary mapping f : X --> Y.
Prove the main property of the first set mapping:
A_1 is a subset of A_2 implies that f(A_1) is a subset of f(A_2).
The attached file contains the symbol version of the above statement for clarity.© BrainMass Inc. brainmass.com October 9, 2019, 8:07 pm ad1c9bdddf
This posting gives all the steps in the calculations necessary as well as concluding remarks at the end.