Writing calculus exam tomorrow and you’ve got me rethinking my choices that led me here

Numbers were invented by Big Math to sell more math!

so you see the homomprphism between this ring of automorhisms to the homomorphic image of this ring under our original homomorhism is actually an isomorphism, because there always exists a homological chain of isomorhisms due to the fact that every group is isomorphic to a direct external product of groups of groups of natural numbers, and this tells us a lot about society