If $\dim X=n$ then for any norm in $X$, $X$ is complete.
19415
Proof that every finite dimensional normed vector space is complete
84264
the space of lipschitz function is complete with respect to some norm
128108
$Y=\prod_{n\in\mathbb{N}}X$.
45642
Prove that the Extension Theorem is Complete.
128894
About compactness and completeness of set $X = \mathbb{R}$ with the metric $d(x, y) = \frac{|x-y|}{1+|x-y|}$
100362
Codomain of function complete implies function space complete
154324
preservation of completeness under homeomorphism
94405
Let $W$ be the set of all linear combinations of $v_1,...,v_n$. Then $W$ is a subspace of $V$.
142315
How does the Axiom of Regularity apply to $A=\{1,2,3\}$?
89792
Let $x,y$ be positive real numbers. Then $x<y$ iff $x^n<y^n$ for all $n\in \mathbb{N}$
76527
If $x_{m+n} \le x_n+x_m$, then $\lim x_n/n$ exists and is equal to $\inf x_n/n$
46039
Prove that if $x \in R,$ then there exists $n \in Z$ satisfying $x \leq n < x+1$
97049
If $v_1,...,v_m$ are linearly independent, then the span $v_1+w,...,v_m+w$ has dimension $\ge m-1$
101577
If every divergent curve has unbounded lenght then the manifold is complete.
114575
If $\sum_{i=1}^k \dim F_i > n(k-1)$ then $\cap_{i=1}^k F_i \neq \{0\}$
92290
For each $x,y,z∈\mathbb N$, if $x<y$ then $x+z<y+z$
74312
If Y is complete then B(X,Y) is complete