Theorem:
Every pair of integer a and b has a common divisor of the form
d=ax+by
Where x and y are integers.
Moreover, every common divisor of a and b divides this d.
Ive looked at the link and the responses but dont feel convinced of the proof at all still. I just dont understand the structure of the proof. Why we proved the theorem.
I would really like some help understanding this proof.
This is what i got out of the proof, which is incorrect, but i just dont see what is being done in the
I have a little brick that goes everywhere I go
Though if it's there or not, there's no way for me to know
And every time I look around and see a flower twice
And get a little anxious and then quickly close my eyes
That sturdy little brick of mine is there besides my feet
And then the grass and wind feel mellow, like i'm a big tree's brittle seed
That little brittle brick of mine goes everywhere I please
Though when my eyes are open, I can only feel a breeze