if a divides b, then a divides bc
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Suppose a divides b. Then there exists an integer q such that b = aq, so that bc = a(qc) and a divides bc.
Suppose that a divides c. Then there exists an integer k such that c = ak, so that bc = a(kb) and a divides bc.
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Trudie Dory
Update: 2024-04-30