query: Proving the Invariance of a Set.
positive_passages.docid: 21820
positive_passages.text: How to prove that a set is invariant?
negative_passages.docid: 109070
negative_passages.text: Question about the proof of the distributive property for sets
negative_passages.docid: 1409
negative_passages.text: Proving that the given set has at most $2^{n-1}$ elements
negative_passages.docid: 60359
negative_passages.text: Proving that these two sets are denumerable.
negative_passages.docid: 61747
negative_passages.text: Proof of exchange principle in set theory
negative_passages.docid: 32441
negative_passages.text: How to prove or disprove statements about sets
negative_passages.docid: 113083
negative_passages.text: How to prove a set equality?
negative_passages.docid: 92249
negative_passages.text: Every finite set contains its supremum: proof improvement.
negative_passages.docid: 39708
negative_passages.text: Proving $(A\le B)\vee (B\le A)$ for sets $A$ and $B$
negative_passages.docid: 120065
negative_passages.text: Niven’s theorem proof.
negative_passages.docid: 107248
negative_passages.text: Prove that the set $ \{\sin(x),\cos(x),\sin(2x),\cos(2x)\}$ is linearly independent.
negative_passages.docid: 26740
negative_passages.text: Showing that asymptotic normality implies consistency.
negative_passages.docid: 122271
negative_passages.text: A subset of a transitive set is transitive
negative_passages.docid: 151686
negative_passages.text: A proof that the Cantor set is Perfect
negative_passages.docid: 10180
negative_passages.text: How to prove that this set is closed?
negative_passages.docid: 70034
negative_passages.text: Showing that this set of functions is a group.
negative_passages.docid: 37183
negative_passages.text: Show that the set of all $x$ such that $x \in P$ and $x \notin Q$ exists