Question: .. Establish the following statement using rigorous mathematical argumentation: For all integers k, l, m, n, if k = nl + m, then: Integer n

.. Establish the following statement using rigorous mathematical argumentation: For all integers k, l, m, n, if k = nl + m, then: Integer n divides integer k if and only if integer n divides integer m. Recall: Division Algorithm. If m and n are integers such that m is non-zero, then there exist unique integers q and r satisfying the following conditions: (i) 0
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