Prove the theorem: For finite sets X and Y, let |X|=m and |Y|=n. If there is an onto function f:X → Y then m > n.

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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Prove the theorem: For finite sets X and Y, let |X|=m and |Y|=n. If there is an onto
function f:X → Y then m > n.
Transcribed Image Text:Prove the theorem: For finite sets X and Y, let |X|=m and |Y|=n. If there is an onto function f:X → Y then m > n.
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