existence theorem

noun Mathematics.

any theorem that asserts the existence of some specified mathematical object.

Origin:
1895–1900

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Existence theorem is always a great word to know.

So is exponent. Does it mean:

a positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded

a symbol or number placed above and after another symbol or number to denote the power to which the latter is to be raised

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