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Let a, b, d E Z. Prove using only the definition of divisibility (that is, no other lemmas or theorems) that ifd a and d| (a + b), then d | b.

Let a, b, d E Z. Prove using only the definition of divisibility (that is, no other lemmas or theorems) that ifd a and d| (a + b), then d | b.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let a, b, d E Z. Prove using only the definition of divisibility (that is, no other lemmas or theorems) that ifd | a and d | (a + b), then d | b.
Transcribed Image Text:Let a, b, d E Z. Prove using only the definition of divisibility (that is, no other lemmas or theorems) that ifd | a and d | (a + b), then d | b.
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