query: Proof of some statement
positive_passages.docid: 149889
positive_passages.text: Prove that $|\log(1 + x^2) - \log(1 + y^2)| \le |x-y|$
negative_passages.docid: 88982
negative_passages.text: Prove that for any two sets $A$ and $B$, $A\notin B$ or $B\notin A$
negative_passages.docid: 11168
negative_passages.text: Proof of divisibility: if $a|b$ and $a|(b+c)$ then $a|c$
negative_passages.docid: 66948
negative_passages.text: Proving question on sets
negative_passages.docid: 90970
negative_passages.text: How to prove the line exist?
negative_passages.docid: 29325
negative_passages.text: Maximum Proof (Average?)
negative_passages.docid: 155897
negative_passages.text: Proof by induction - is this correct?
negative_passages.docid: 151038
negative_passages.text: How to prove (A v B), (A → C), (B → D) therefore (C v D)
negative_passages.docid: 75387
negative_passages.text: A proof that $1=2$. May I know why it’s false?
negative_passages.docid: 67483
negative_passages.text: Show that $|a-b|<\epsilon \Rightarrow |a|<|b|+\epsilon$
negative_passages.docid: 109858
negative_passages.text: How could a statement be true without proof?
negative_passages.docid: 142993
negative_passages.text: Proof of A ⊆ C and B ⊆ C ⇔ A ∪ B ⊆ C
negative_passages.docid: 125263
negative_passages.text: How to crack the proof
negative_passages.docid: 120309
negative_passages.text: Number Theory Inequality Proof
negative_passages.docid: 75529
negative_passages.text: Series prove or disprove statement
negative_passages.docid: 145614
negative_passages.text: Proving one limit is equal to another
negative_passages.docid: 149287
negative_passages.text: Prove that $A,B>0$ and $A_{ij}0$