Prove that $ \{0,1\}^{|A|} $ is finite
125683
Power set of a finite set is finite proof, no cardinality of power set
73454
Prove that $f$ has finite number of roots
92583
Prove that $N(\gamma) = 1$ if, and only if, $\gamma$ is a unit in the ring $\mathbb{Z}[\sqrt{n}]$
91000
Prove that $\frac{1}{a+1}0$
88598
Property of $\{0^n, 1^n, \ldots\}$
136574
Show $g^{(n)}(0)=0$ for all $n$
113892
Show $A \in \cal F$ exists, such that $\mathbb P(A)=1$ and $\mathbb Q(A)=0$.
23712
$F$ is a finite field of size $s$. Prove that if $s=2^m$ for some $m>0$, then all elements of F have a square root.
106398
If $A$ is invertible show that $\det(A) \neq 0$
92534
Prove that any finite subset of a linearly independent set is linearly independent
32795
Proving $ \bigcup_{i=1}^n A_{i} \text{ is finite.} $ by Induction.
148992
A finite set is closed
122536
Show that any finite $T_1$-space $X$ is discrete.
13162
Prove $\alpha \in R[[x]]$ is a unit iff $a_0 \in R$ is a unit
33642
Finite dimensional subspace of $C([0,1])$
147213
Prove that finite unions of compact sets are compact
135511
$M_a =\{ f\in C[0,1] |\ f(a)=0 \}$ for $a$ $\in$ $[0,1]$. Is $M_a$ finitely generated in $C[0,1]$?