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A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.

Example: It is Pythagoras' theorem that states the hypotenuse of any right angle triangle when squared is equal to the sum of its squared sides.

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Q: What is the definition of a theorem?
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