query: Question about union of cartesian product of sets
positive_passages.docid: 148668
positive_passages.text: How to show $A\times (B\cup C) = (A\times B)\cup (A\times C)$
negative_passages.docid: 102383
negative_passages.text: Associativity of Cartesian Product
negative_passages.docid: 76823
negative_passages.text: Is it the case that for all sets $A, B, C,$ and $D$, $(A \times B) \cup (C \times D) = (A \cup B) \times (C \cup D)$?
negative_passages.docid: 134081
negative_passages.text: What is the Cartesian product of $n$ polygons?
negative_passages.docid: 142993
negative_passages.text: Proof of A ⊆ C and B ⊆ C ⇔ A ∪ B ⊆ C
negative_passages.docid: 140668
negative_passages.text: Union of $2$ set $A, B$ where $ A$ is a subset of $B$
negative_passages.docid: 16654
negative_passages.text: Unions and Intersections of Open Sets are Open
negative_passages.docid: 149673
negative_passages.text: Cardinality of an infinite union of finite sets
negative_passages.docid: 68977
negative_passages.text: Interior of cartesian product is cartesian product of interiors
negative_passages.docid: 9651
negative_passages.text: Cardinality of cartesian product of an infinite set with N
negative_passages.docid: 31318
negative_passages.text: Cardinality of cartesian square
negative_passages.docid: 12404
negative_passages.text: Union of definable sets
negative_passages.docid: 13132
negative_passages.text: If the union of two sets is contained in the intersection, then one is contained in the other ($[A\cup B\subseteq A\cap B]\implies A \subseteq B$)
negative_passages.docid: 9268
negative_passages.text: Proving that the Union of Two Compact Sets is Compact
negative_passages.docid: 48557
negative_passages.text: Product of connected spaces
negative_passages.docid: 1058
negative_passages.text: Get the cartesian product of a series of lists?
negative_passages.docid: 25553
negative_passages.text: elementary set theory (cartesian product and symmetric difference proof)