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but I do not know how to prove an axiom.

Would you please teach me ?

How to prove an axiom ?

How did the axiomatic rules become axiom ?

I think some statements or formulas are axiomatic, although they seem unbelievable, for example,

https://www.physicsforums.com/showthread.php?s=&threadid=3876

(Volumes of Regular Icosahedron and Regular Tetrahedron ¡V

in the Mathematics forum of Physics Forums.)