Let d, t € N be such that d | t. Prove that if x, y € Z are such that x = y (mod t), then x = y(mod d).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 4E: 4. Let , where is nonempty. Prove that a has left inverse if and only if for every subset of .
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Let d, t € N be such that d | t. Prove that if x, y € Z are such that x =y (mod t), then
x = y(mod d).
Transcribed Image Text:Let d, t € N be such that d | t. Prove that if x, y € Z are such that x =y (mod t), then x = y(mod d).
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