Axioms are complete assumptions that you make, and follow, upon which all other mathematical statements are proven. Some axioms you might know are “objects that are both equal to the same object, are also equal to each other” or “let straight lines exist”
If you can prove an axiom from the other axioms you already have, then that’s great. It’s always good to minimize the number of assumed statements you have, but you can never prove *all* axioms.
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