How would you prove that A \ (A \ B) = A ∩ B is true for all sets A and B?
140446
Prove that $A \smallsetminus (A \smallsetminus B) = A \cap B$
47434
Proof that $A \subseteq B \Leftrightarrow A \cup B = B$
49143
Showing $A \subset B \iff A\cap B=A$
70311
Trying to prove (A ∩ B) − C = (A − C) ∩ (B − C)
64656
how do you prove that $A\times (B\setminus C) = (A\times B) \setminus (A\times C)$?
131983
Prove that $A \subset B$ if and only if $A \setminus B = \emptyset$
143130
Proving that the supremum of $(a,b)$ is $b$.
120094
Prove, that for any A, B, C sets, $A\times (B\setminus C) = (A\times B)\setminus (A\times C)$ is true.
138199
Proof explanation $A\setminus B = A \setminus B \cap A$
77902
If $A,B,$ and $C$ are sets, then $A\times(B-C)$ = $(A \times B)$ $-$ $(A \times C)$.
134120
Prove statement with a counter-example: For all sets S, T and V, V ∪ (S ∩ T) = (V ∪ S) ∩ T is false
68918
Show that $A\cap B\subseteq A$ and $A\subseteq A\cup B$
143979
How can I prove that $|A| + |B| = |A\cup B| + |A\cap B|$?
90566
There exists surjections from A onto B and vice versa, and there is no bijection between the sets?
76826
Are there sets $A$ and $B$ such that $A \in B$ and $B \in A$?
134914
Let $A,B$ and $U$ be sets so that $A\subseteq U$ and $B\subseteq U$. Prove that $A\subseteq B$ iff $(U\setminus B)\subseteq(U\setminus A)$.
132971
Prove that $|a| < b \iff -b<a<b$