2. Let X and Y be sets and let f: XY. Prove that f is injective for all sets U, for all functions h: UX and k: UX, if foh=fok, then h = k.
2. Let X and Y be sets and let f: XY. Prove that f is injective for all sets U, for all functions h: UX and k: UX, if foh=fok, then h = k.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 55E
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f is injective
for all sets U, for all functions h: UX and k: UX, if foh=fok, then h = k."
Transcribed Image Text:2. Let X and Y be sets and let f: XY. Prove that
f is injective
for all sets U, for all functions h: UX and k: UX, if foh=fok, then h = k.
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