query: set theory proof of $A\cap B = A \setminus(A\setminus B)$
positive_passages.docid: 144502
positive_passages.text: Showing that $A\cap B = A\setminus (A\setminus B)$
negative_passages.docid: 77859
negative_passages.text: Prove or find a counter example to the claim that for all sets A,B,C if A ∩ B = B ∩ C = A ∩ C = Ø then A∩B∩C ≠ Ø
negative_passages.docid: 39708
negative_passages.text: Proving $(A\le B)\vee (B\le A)$ for sets $A$ and $B$
negative_passages.docid: 120094
negative_passages.text: Prove, that for any A, B, C sets, $A\times (B\setminus C) = (A\times B)\setminus (A\times C)$ is true.
negative_passages.docid: 56399
negative_passages.text: Proof for $A \cup B = B$ if and only if $A \subset B$
negative_passages.docid: 107383
negative_passages.text: Derived sets - prove $(A \cup B)' = A' \cup B'$
negative_passages.docid: 77286
negative_passages.text: Proving set theory question
negative_passages.docid: 143979
negative_passages.text: How can I prove that $|A| + |B| = |A\cup B| + |A\cap B|$?
negative_passages.docid: 109745
negative_passages.text: If $(a,k)=(b,m)=1$, prove that $(ab,km)=(a,m)(b,k)$.
negative_passages.docid: 111032
negative_passages.text: Proof of Sets involving the Cartesian Product
negative_passages.docid: 43462
negative_passages.text: Disprove $\mathcal{P}(A\Delta B) \setminus \{\emptyset\} = \mathcal{P}(A) \Delta\mathcal{P}(B) $. Is my proof good?
negative_passages.docid: 10107
negative_passages.text: Prove $A\cup (A\cap B) = A$
negative_passages.docid: 59813
negative_passages.text: Prove that for all sets A and B, A ∩ B = ∅ implies ( A ∪ B ) - B = A
negative_passages.docid: 106434
negative_passages.text: Prove that for a dense set $A$ and an open set $U$, $U\subset \overline{A\cap U}$
negative_passages.docid: 68918
negative_passages.text: Show that $A\cap B\subseteq A$ and $A\subseteq A\cup B$
negative_passages.docid: 114599
negative_passages.text: $A \cup B$ and $A \cap B$ connected $\implies A$ and $B$ are connected
negative_passages.docid: 151928
negative_passages.text: How to prove that $N\setminus A$ is finite?