query: How can you prove this set theory statement by contradiction
positive_passages.docid: 13253
positive_passages.text: Prove $f(S \cup T) = f(S) \cup f(T)$
negative_passages.docid: 113640
negative_passages.text: Why is there this strange contradiction between the language of logic and that of set theory?
negative_passages.docid: 27107
negative_passages.text: intersection of the empty set and vacuous truth
negative_passages.docid: 146356
negative_passages.text: To prove two sets are isomorphic is it sufficient to find 2 injections or 2 surjections?
negative_passages.docid: 20004
negative_passages.text: Meta Theory when studying Set Theory
negative_passages.docid: 93771
negative_passages.text: Prove that for any set $A$ there is some $x \notin A$
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: 67031
negative_passages.text: use contradiction to prove that the square root of $p$ is irrational
negative_passages.docid: 67066
negative_passages.text: Proof there is a 1-1 correspondence between an uncountable set and itself minus a countable part of it
negative_passages.docid: 93447
negative_passages.text: How is Russell’s Paradox equal to the universal set?
negative_passages.docid: 118239
negative_passages.text: If $A, B, C$ are sets prove that $(A\setminus B)\setminus C\subseteq A\setminus(B\setminus C)$
negative_passages.docid: 139841
negative_passages.text: Proving $A\setminus(B\setminus C)$ is not equal to $(A\setminus B)\setminus C$
negative_passages.docid: 10180
negative_passages.text: How to prove that this set is closed?
negative_passages.docid: 141496
negative_passages.text: Could someone make the proof into a hinted exercise?
negative_passages.docid: 43700
negative_passages.text: Are proofs by contradiction really logical?
negative_passages.docid: 25553
negative_passages.text: elementary set theory (cartesian product and symmetric difference proof)
negative_passages.docid: 106342
negative_passages.text: Why $L$-structures cannot satisfy a contradiction