query: What is the proof that the two below are equal?
positive_passages.docid: 1125
positive_passages.text: Inductive proof that ${2n\choose n}=\sum{n\choose i}^2.$
negative_passages.docid: 95181
negative_passages.text: If the sum of two irreducible fractions is an integer, then the denominators are equal
negative_passages.docid: 100399
negative_passages.text: A doubt with a part of a certain proof.
negative_passages.docid: 68700
negative_passages.text: Proving Two Limits Are Equal to Each Other
negative_passages.docid: 8854
negative_passages.text: Prove $f $ is identically zero if $f(0)=0$ and $|f'(x)|\le|f(x)|$
negative_passages.docid: 3818
negative_passages.text: Proving two entire functions are constant.
negative_passages.docid: 144713
negative_passages.text: Simple Calculus Proof
negative_passages.docid: 62936
negative_passages.text: Proving equivalencies of two versions of the Axiom of Choice
negative_passages.docid: 105367
negative_passages.text: Proving $||\vec{a}+\vec{b}|| = ||\vec{a}-\vec{b}|| \iff \vec{a} \perp \vec{b}$
negative_passages.docid: 1932
negative_passages.text: How to show this equality of $\rho(X,Y)$
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: 50804
negative_passages.text: It seems obvious, but how to prove it formally?
negative_passages.docid: 21737
negative_passages.text: If $A|B$ and $B|A$ then prove $A=\pm B$
negative_passages.docid: 95379
negative_passages.text: Prove that $V = V_1 \oplus V_2$ in the following
negative_passages.docid: 110075
negative_passages.text: How to show the given equality
negative_passages.docid: 69204
negative_passages.text: When I prove two topologies are same, is it sufficient to prove they have same basis? If so,Why?
negative_passages.docid: 17375
negative_passages.text: When is the limit of a sum equal to the sum of limits?