Proving $\kappa^{\lambda} = |\{X: X \subseteq \kappa, |X|=\lambda\}|$
32965
Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
122663
Proving $T$ and $U$ are equal if I know $(X,T)$ and $(X,U)$ are hausdorff and compact
79778
$\kappa\cdot\kappa= \kappa,$ for infinite cardinals
141286
When is $\mathbf{X}^{T}\mathbf{X}+\lambda\mathbf{I}$ invertible?
45792
Rigorous proof that surjectivity implies injectivity for finite sets
22149
How to prove $dim(Ker (A- \lambda I))=dim (Ker(A^t- \lambda I))$?
111129
Show that $[K:F]_s = [K:L]_s [L:F]_s$ and $[K:F]_i = [K:L]_i [L:F]_i$.
6291
Proving something is a linearly independent subset
101286
How show that $|a_{n}-1|\le c\lambda ^n,\lambda\in (0,1)$
154363
Prove that $\text{aff}(X) = \text{aff}(\text{closure}(X))$
67709
Stuck with proof for $\forall A\forall B(\mathcal{P}(A)\cup\mathcal{P}(B)=\mathcal{P}(A\cup B)\rightarrow A\subseteq B \vee B\subseteq A)$
30770
Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$
23125
Prove that there is a bijection between the set of all subsets of $X$, $P(X)$, and the set of functions from $X$ to $\{0,1\}$.
56399
Proof for $A \cup B = B$ if and only if $A \subset B$
83279
How can I find such a $z$? (Injectivity of $T(z) = \lambda z + \mu\bar{z}$)
147627
Relation between condition numbers $\kappa(A^T A)$ and $\kappa(A)$
46056
If $\mathcal{E}$ are subsets of $X$ and $A \subset X$. Show that $\mathcal{A}\mathcal{(E \cap}$ A)=$\mathcal{A}\mathcal{(E)} \cap$ A