What is the difference Between axion and theorem

Dear Student,
Axiom is a statement which is logically true but it cannot be proven but it is self evident. For example, a line can be extended infinitely. We cannot actually prove it because infinity itself is uncountable. But it is a fact that line can be extended infinitely.

Theorem is a statement which can be proved using other theorems, axioms or some logic. For example Pythagoras theorem.

Regards,

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An axiom is a statement that is considered to be true by logic. A theorem by definition is a statement proven based on axioms , other theorums and some set of logical connectives.
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