2. Let a, b € Z, where a > b and a 0. Show that there exist integers q and r such that a = bq+r, using an existential constructive proof.
2. Let a, b € Z, where a > b and a 0. Show that there exist integers q and r such that a = bq+r, using an existential constructive proof.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 23E: Let a and b be integers such that ab and ba. Prove that b=0.
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