Prove that $ E \cap (F + (E \cap G)) = (E \cap F) + (E \cap G)$
74623
Associative rule of subspaces and vector spaces: $(U+V) \cap W = U + (V \cap W)$
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
113411
If $E$ is generated by $E_1$ and $E_2$, then $[E:F]\leq [E_1:F][E_2:F]$?
123555
Proving that if $ab=e$ then $ba=e$
100303
A necessary and sufficient condition for $A\cap(B+C)=(A\cap B)+C$ to hold for submodules
140446
Prove that $A \smallsetminus (A \smallsetminus B) = A \cap B$
26302
Prove that $(X \cap Y) \cup Z = (X \cup Z) \cap (Y \cup Z)$
44270
$E$ measurable set and $m(E\cap I)\le \frac{1}{2}m(I)$ for any open interval, prove $m(E) =0$
75863
how to prove $f^{-1}(B_1 \cap B_2) = f^{-1}(B_1) \cap f^{-1}(B_2)$
30770
Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$
39943
Proving $\mathrm e <3$
144502
Showing that $A\cap B = A\setminus (A\setminus B)$
19457
Show that: $\inf(A+B) = \inf(A)+ \inf(B)$
70128
Prove that $(fg)^{(n)} = \sum_{k=0}^n \binom{n}{k}f^{(k)}(x)g^{(n-k)}(x)$
56413
$f(g(x))=g(f(x))$ implies $f(c)=g(c)$ for some $c$
137707
How to prove that $(A\cup B) \cap C \subseteq A\cup (B\cap C)$
13253
Prove $f(S \cup T) = f(S) \cup f(T)$