query: Is there a proof that 1+0=1?
positive_passages.docid: 108873
positive_passages.text: How would one be able to prove mathematically that $1+1 = 2$?
negative_passages.docid: 110703
negative_passages.text: How Can I prove (a+b) mod m = (a mod m) + (b mod m)) mod m?
negative_passages.docid: 104321
negative_passages.text: Prove that $1 + \cos\alpha + \cos\beta + \cos\gamma = 0$
negative_passages.docid: 17963
negative_passages.text: I have learned that 1/0 is infinity, why isn't it minus infinity?
negative_passages.docid: 55673
negative_passages.text: Alternate proof that $\exists\ x \in \Bbb{Z}$ such that $ \gcd (a+bx,c) = 1$?
negative_passages.docid: 10348
negative_passages.text: Prove that if the $\gcd(a,b)=1$, then $\gcd(a+b,ab)=1$
negative_passages.docid: 122971
negative_passages.text: how to prove that $\ln(1+x)< x$
negative_passages.docid: 89535
negative_passages.text: fake proof of $\forall a. \forall b. a = b \to 1 = 0$
negative_passages.docid: 112512
negative_passages.text: How to prove that there are finitely many $n$ such that $f(1+1/n) = \frac{1}{n+1}$?
negative_passages.docid: 125707
negative_passages.text: A simple proof (hopefully) for $2^x \neq 0$
negative_passages.docid: 88328
negative_passages.text: Proof of $1+x\leq e^x$ for all x?
negative_passages.docid: 25258
negative_passages.text: Prove that if $ a,b,c > 0 $, then $ [(1 + a) (1 + b) (1 + c)]^{7} > 7^{7} (a^{4} b^{4} c^{4}) $.
negative_passages.docid: 6539
negative_passages.text: Prove $\sum_{i=1}^n i! \cdot i = (n+1)! - 1$?
negative_passages.docid: 59006
negative_passages.text: Proof of $\gcd(n!+1, (n+1)!+1)=1$?
negative_passages.docid: 31783
negative_passages.text: Is this proof of $ab = 0$ correct?
negative_passages.docid: 96554
negative_passages.text: Why is $x^0 = 1$ except when $x = 0$?
negative_passages.docid: 33705
negative_passages.text: Is $0$ a natural number?