query: How to show that the composite function of two injective functions is injective
positive_passages.docid: 152438
positive_passages.text: Is the composition of two injective functions injective?
negative_passages.docid: 155266
negative_passages.text: Is $\exp:\overline{\mathbb{M}}_n\to\mathbb{M}_n$ injective?
negative_passages.docid: 6788
negative_passages.text: Let $(a,b)$ and $(c,d)$ be intervals in $\Bbb R$, and find an injective and surjective function from $(a,b)$ to $(c,d)$
negative_passages.docid: 70912
negative_passages.text: If $g\circ f$ is injective and $f$ is surjective then $g$ is injective
negative_passages.docid: 42809
negative_passages.text: How can we show that $(I-A)$ is invertible?
negative_passages.docid: 138481
negative_passages.text: $f(x)=x/1$ is not injective?
negative_passages.docid: 45710
negative_passages.text: Finishing a proof: $f$ is injective if and only if it has a left inverse
negative_passages.docid: 49953
negative_passages.text: Proving that a function from $N\times N$ to $N$ is bijective.
negative_passages.docid: 28692
negative_passages.text: Find if set $I$ of all injective functions $\mathbb{N} \rightarrow \mathbb{N}$ is equinumerous to $\mathbb{R}$
negative_passages.docid: 13193
negative_passages.text: Does a inverse function need to be either surjective or injective?
negative_passages.docid: 74453
negative_passages.text: Injective and Surjective Functions
negative_passages.docid: 35953
negative_passages.text: Prove that a function is not injective
negative_passages.docid: 28798
negative_passages.text: Proving injection and surjection with functions $F:C^B\to C^A$, $F(f)=f\circ\varphi$, $\varphi: A\to B$
negative_passages.docid: 45380
negative_passages.text: Surjectivity implies injectivity and conversely
negative_passages.docid: 88278
negative_passages.text: Show $S = f^{-1}(f(S))$ for all subsets $S$ iff $f$ is injective
negative_passages.docid: 38286
negative_passages.text: Proving the Cantor Pairing Function Bijective
negative_passages.docid: 134588
negative_passages.text: Seeking a direct proof about nested inclusions