Want show that $(x,y)\mapsto (x+y)/2$ is injective
14322
Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$
31295
$x+y\sqrt{2}$ infimum ($x,y\in \mathbb{Z}$)
145368
How to show $f:Y\to X^{+}$ is continuous?
29679
Prove: $|x-y|\leq |x|+|y|$
25997
Conditions Equivalent to Injectivity
46863
Show that $g$ is injective
49999
Express $y$ from $\ln(x)+3\ln(y) = y$
142652
When is the product of two quotient maps a quotient map?
105455
Prove that "injective function $f:X\to Y$ exists" and "surjective function $g:Y\to X$ exists" is logically equivalent.
54222
Prove the map has a fixed point
52354
Given a idempotent endomorphism, show that $M = \ker(f) \oplus \ker (f-\text{id}_M)$
96202
Prove composition of bijections is bijection
83279
How can I find such a $z$? (Injectivity of $T(z) = \lambda z + \mu\bar{z}$)
77944
Injective functions with intermediate-value property are continuous. Better proof?
28798
Proving injection and surjection with functions $F:C^B\to C^A$, $F(f)=f\circ\varphi$, $\varphi: A\to B$
45710
Finishing a proof: $f$ is injective if and only if it has a left inverse
93776
Bijective mapping between $\mathbb{R}^2$ and $\mathbb{R}$?