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Proposition: Composition of Injective Functions is Injective
Let $A,B,C$ be sets and let $f:A\to B$ and $g:B\to C$ be injective functions. Then the composition $(g\circ f):A\to C$ is also injective.
Table of Contents
Proofs: 2 3
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- Kane, Jonathan: "Writing Proofs in Analysis", Springer, 2016