Theorem. Let n e Nand let a e Z. If a = nq+r and 0


Theorem. Let n e Nand let a e Z. If a = nq+r and 0 <r <n for some integers q and r, then a =<br>Corollary. If n E N, then each integer is congruent, modulo n, to precisely one of the integers 0, 1,<br>That is, for each integer a, there exists a unique integer r such that a =<br>and 0 <r <<br>

Extracted text: Theorem. Let n e Nand let a e Z. If a = nq+r and 0

Jun 04, 2022
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