Method 1:
By distributive law
You can use any kind of mathematical tools to write proof. Not necessary to be algebra or calculus or geometry etc... writing proof or problem solving is a question that cannot be answered immediately. You will get lost at the very beginning mostly. Problems are often open-ended, paradoxical, and sometimes unsolvable, and require investigation before one can come close to a solution. Problems and problem solving are at the heart of mathematics. Research mathematicians do nothing but open-ended problem solving. In industry, being able to solve a poorly defined problem is much more important to an employer than being able to, say, invert a matrix. A computer can do the latter, but not the former.
So let's try using Set as a tool to solve
Method 2:
Then,
But the function
is similarly mapping of
Hence .
This completes the proof.
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