query: Proving that the collection of all maps between two sets is a set
positive_passages.docid: 145781
positive_passages.text: Is the collection of all functions between two sets a set?
negative_passages.docid: 44623
negative_passages.text: Closed set as a countable intersection of open sets
negative_passages.docid: 30021
negative_passages.text: Bijection between set of all binary sequences and power set of $\mathbb N$.
negative_passages.docid: 152927
negative_passages.text: seemingly nontrivial question about covering maps and evenly covered open sets
negative_passages.docid: 111032
negative_passages.text: Proof of Sets involving the Cartesian Product
negative_passages.docid: 66948
negative_passages.text: Proving question on sets
negative_passages.docid: 9268
negative_passages.text: Proving that the Union of Two Compact Sets is Compact
negative_passages.docid: 64866
negative_passages.text: Proving a Composition of Functions is Bijective
negative_passages.docid: 106455
negative_passages.text: intersection of infinite collection of finite sets?
negative_passages.docid: 21820
negative_passages.text: How to prove that a set is invariant?
negative_passages.docid: 77791
negative_passages.text: Proving an inclusion related to algebraic sets and interpreting it
negative_passages.docid: 87830
negative_passages.text: Relating the union of the power set of a set to the set itself
negative_passages.docid: 148399
negative_passages.text: Two sets which contain each other as elements
negative_passages.docid: 21663
negative_passages.text: Bijection between power sets of sets implies bijection between sets?
negative_passages.docid: 158671
negative_passages.text: Cardinality of a set that consists of all existing cardinalities
negative_passages.docid: 118595
negative_passages.text: Proving that a set is countable by finding a bijection
negative_passages.docid: 88982
negative_passages.text: Prove that for any two sets $A$ and $B$, $A\notin B$ or $B\notin A$