prove that function mapping is injective iff ker (f) = {e}
34234
Kernel of injective group homomorphism
75315
How to prove that homomorphism from field to ring is injective or zero?
13253
Prove $f(S \cup T) = f(S) \cup f(T)$
127000
When does $V = \ker(f) \oplus \operatorname{im}(f)$?
88278
Show $S = f^{-1}(f(S))$ for all subsets $S$ iff $f$ is injective
84301
Showing that some Function on the Unit Disc is injective
77944
Injective functions with intermediate-value property are continuous. Better proof?
71857
Proving that, $|f'(x)-f'(y)|\le k|x-y| \implies (f'(x))^2< 2 kf(x) $
65472
From injective map to continuous map
104949
How would I prove that this function is affine if $f(x+h)-f(x)=hf'(x)$?
157378
On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions
111129
Show that $[K:F]_s = [K:L]_s [L:F]_s$ and $[K:F]_i = [K:L]_i [L:F]_i$.
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
141166
How to show that when the linear transformation $\Phi =\psi \circ \phi : E \rightarrow G$ is injective, then $\phi$ is also injective?
72251
$g\circ f$ is Surjective and $g$ is Injective then Prove that $f$ is surjective
28798
Proving injection and surjection with functions $F:C^B\to C^A$, $F(f)=f\circ\varphi$, $\varphi: A\to B$
113109
Showing that a map is bijective and finding its inverse