Prove that a subset of a linearly independent set is a linearly independent set
2287
If a set is linearly independent, a finite subset of that set is also linearly independent
47056
Show that the boundary of a set equals the boundary of its complement
6793
A linearly independent set about approximate units
134914
Let $A,B$ and $U$ be sets so that $A\subseteq U$ and $B\subseteq U$. Prove that $A\subseteq B$ iff $(U\setminus B)\subseteq(U\setminus A)$.
42495
Determine if the following sets of vectors are linearly independent
118239
If $A, B, C$ are sets prove that $(A\setminus B)\setminus C\subseteq A\setminus(B\setminus C)$
8291
If $n$ vectors are linearly independent, is their span $\mathbb{R}^n$?
140668
Union of $2$ set $A, B$ where $ A$ is a subset of $B$
137707
How to prove that $(A\cup B) \cap C \subseteq A\cup (B\cap C)$
18907
Is this proof of $\liminf E_k \subset \limsup E_k $ correct?
64320
Prove that if $0<a<Pr(A)$ then there exists $B\subset A$ such that $Pr(B)=a$
92774
Prove that a linear subspace of $C([0,1])$ is closed
109070
Question about the proof of the distributive property for sets
77286
Proving set theory question
56399
Proof for $A \cup B = B$ if and only if $A \subset B$
55752
Prove that $n+1$ vectors in $\mathbb{R}^n$ cannot be linearly independent
39708
Proving $(A\le B)\vee (B\le A)$ for sets $A$ and $B$