I did not understand the idea with bijective functions of equivalence classes. I do not clearly understand how the proofs work and why we can just switch to the namesake element of the equivalence class when the proof wants to prove it on the entire equivalence class. If I understood that better, I think the proofs with them would make more sense.
I like the idea of injective and surjective functions. In high school I remember discussing one-to-one functions but I remember wondering why we did not discuss onto functions and if they had any significance. I like to the thought that they are worth discussing but I am looking forward to see why.
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