Show that if f is strictly increasing on A, then inverse f is strictly increasing on B
38695
Inverse of Strictly Monotone Function
106971
Let $f:U \to V$ be a bijective holomorphic function. Show that inverse of $f$ is also holomorphic.
80421
Show that $a - b \mid f(a) - f(b)$
145875
Inverse of a bijection f is equal to its derivative
7034
Prove that $A+I$ is invertible if $A$ is nilpotent
143491
Show that $f$ is differentiable on $(−1, 1)$.
52108
how to prove Exponential is strictly positive?
25775
How to prove $(1+1/x)^x$ is increasing when $x>0$?
21391
Proving Functions are Surjective
51555
Strictly increasing sequence $\{ a_k \}$ of positive integers such that $\sum 1/{a_k}$ is finite
22061
$|f(x)-f(y)|\geq k|x-y|$.Then $f$ is bijective and its inverse is continuous.
152841
I want to show that $f(x)=x.f(1)$ where $f:R\to R$ is additive.
45710
Finishing a proof: $f$ is injective if and only if it has a left inverse
55018
Prove that $A^*A + I$ is invertible
39921
show that f is constant on I
43246
Showing that if $a<b$, then $a^{1/n} < b^{1/n}$
10911
$A \in M_{n}(\mathbb{R})$ has inverse if and only if it's rank is n.