Show that if $A \oplus B = A \oplus C$, then B=C
67717
$A \oplus B = A \oplus C$ imply $B = C$?
123555
Proving that if $ab=e$ then $ba=e$
102917
Proving statement - $(A \setminus B) \cup (A \setminus C) = B\Leftrightarrow A=B , C\cap B=\varnothing$
104068
Prove that $\forall a,b\in\mathbb{C} \exists c,d \in \mathbb{C}: c+d = a \land cd = b$
109745
If $(a,k)=(b,m)=1$, prove that $(ab,km)=(a,m)(b,k)$.
67483
Show that $|a-b|<\epsilon \Rightarrow |a|<|b|+\epsilon$
26766
Proving : $A \cap (B-C) = (A \cap B) - (A \cap C)$
80759
Proving $A\times (B\cap C)=(A \times B)\cap (A\times C)$.
101803
A\(B∩C) = (A\B) ∪ (A\C) how to prove?
122853
Show that $\operatorname{rank}(A) = \operatorname{rank}(B)$
155545
Showing that $a \mid b$ and $b \mid a$ if and only if $a= \pm b$.
52135
Show that $A \setminus ( B \setminus C ) \equiv ( A \setminus B) \cup ( A \cap C )$
20878
If $(a,b)=1$ then prove $(a+b, ab)=1$.
151607
Show that  $A\Delta B = C$ if and only if $A = B\Delta C$
145600
Is it true that $ U \oplus W_1 = U \oplus W_2 \implies W_1 = W_2 $?
24845
Let $a\mid c$ and $b\mid c$ such that $\gcd(a,b)=1$, Show that $ab\mid c$
30583
If $a\mid b$ and $b\mid a$, $a,b\in R$, show that $\exists w \in R^\times$ with $b=wa$