Let n E w. Suppose that f:n → A is onto A. Prove that A is finite.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.3: Properties Of Composite Mappings (optional)
Problem 10E: Let g:AB and f:BC. Prove that f is onto if fg is onto.
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Definition
The set consisting of the natural numbers is denoted by w.
Transcribed Image Text:Definition The set consisting of the natural numbers is denoted by w.
Let n E w. Suppose that f:n → A is onto A. Prove that A is finite.
Transcribed Image Text:Let n E w. Suppose that f:n → A is onto A. Prove that A is finite.
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