Using injective function to prove relation between image of function
130156
Image of the union and intersection of sets.
126698
measurability of a function -equivalent conditions
28692
Find if set $I$ of all injective functions $\mathbb{N} \rightarrow \mathbb{N}$ is equinumerous to $\mathbb{R}$
125788
A function with a property $f(x+y)=f(x)f(y)$
152013
elementary ring proof with composition of functions and addition of functions as operations
26665
When does the kernel of a function equal the image?
64866
Proving a Composition of Functions is Bijective
154363
Prove that $\text{aff}(X) = \text{aff}(\text{closure}(X))$
48764
Increasing real valued function whose image set is connected
27775
Proving a function is not a contraction
99726
Proving that a function is not a contraction
151947
Finding a pair of functions with properties
32340
Continuous bijections and their inverses
70264
Prove that the inverse image of an open set is open
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
47135
Prove if a = b, then f(a) = f(b) for any function f (with natural deduction)
133498
Show that Function Compositions Are Associative