query: Proof for symmetric difference of sets in set theory
positive_passages.docid: 12459
positive_passages.text: Associativity of symmetric difference of sets
negative_passages.docid: 104898
negative_passages.text: Proper notation for distinct sets
negative_passages.docid: 9158
negative_passages.text: Proving that a propositional theory of any cardinality has an independent set of axioms
negative_passages.docid: 3663
negative_passages.text: Finding counterexamples in elementary set theory.
negative_passages.docid: 126015
negative_passages.text: Elementary number theory in sets
negative_passages.docid: 37331
negative_passages.text: Prove that every set with more than one element has a permutation without fixed points
negative_passages.docid: 155999
negative_passages.text: How to prove the following properties of infimum and supremum involving the union and intersection of the sets $A_k$
negative_passages.docid: 136755
negative_passages.text: Direct proof of empty set being subset of every set
negative_passages.docid: 99464
negative_passages.text: Proof Concerning Indexed family of Sets and Intervals
negative_passages.docid: 21820
negative_passages.text: How to prove that a set is invariant?
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: 42603
negative_passages.text: How can I prove that the cadinality of a set minus a finite number of elements of it is still the same as the original set?
negative_passages.docid: 25834
negative_passages.text: Proof a set cannot contain its own powerset - Russell's Paradox
negative_passages.docid: 28223
negative_passages.text: Prove/Disprove that if two sets have the same power set then they are the same set
negative_passages.docid: 1821
negative_passages.text: Proving $f(C) \setminus f(D) \subseteq f(C \setminus D)$ and disproving equality
negative_passages.docid: 32441
negative_passages.text: How to prove or disprove statements about sets
negative_passages.docid: 38807
negative_passages.text: Does set difference distribute over set intersection?