Proofing that $rk(A) \leq r$
39585
Connection between rank and matrix product
94781
Prove that $M(t)=\sup_ {a \leq x \leq t} f(x)$ given $f(x)$ is continuous on $[a,b]$
15232
Proving an inequality involving real powers
149664
Norm is sup of inner products (proof).
87567
How to prove $1+x \leq e^x~\forall x \in \mathbb{R}?$
76347
Shorter proof for some equvalences
50266
In the following figure prove that: $AK||BC$
82591
Prove $(x+r_1) \cdots (x+r_n) \geq (x+(r_1 \cdots r_n)^{1/n})^{n}$.
46550
Proving an 'obvious' Ramsey upperbound
30770
Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$
106979
Prove the inequality and limitation
149739
Prove: $f(t)\leq t+1$
155999
How to prove the following properties of infimum and supremum involving the union and intersection of the sets $A_k$
46039
Prove that if $x \in R,$ then there exists $n \in Z$ satisfying $x \leq n < x+1$
131596
Symmetric Inequality in $\mathbb{R}$
27564
Prove that $\|UVU^{-1}V^{-1}-I\|\leq 2\|U-I\|\|V-I\|$
94469
How to prove that $|HK| = \dfrac{|H| \; |K|}{|H \cap K|}$?