query: Why can a = b imply 2 = 1?
positive_passages.docid: 39908
positive_passages.text: Finding the error in this proof that 1=2
negative_passages.docid: 140167
negative_passages.text: Proving $A+A'B=A+B$ without truth tables
negative_passages.docid: 150320
negative_passages.text: Why does $a^{b}·a^{c}=a^{b+c}$?
negative_passages.docid: 53101
negative_passages.text: Is it true that the relation |A| < |B| is a sufficient condition for claiming that $f$ is a bijection?
negative_passages.docid: 56399
negative_passages.text: Proof for $A \cup B = B$ if and only if $A \subset B$
negative_passages.docid: 93557
negative_passages.text: Intuitively, why does (B → S) ≡ (¬B ∨ S)?
negative_passages.docid: 23406
negative_passages.text: How do I convince someone that $1+1=2$ may not necessarily be true?
negative_passages.docid: 127296
negative_passages.text: prove that a|b and b|a iff a=+-b
negative_passages.docid: 86030
negative_passages.text: Prove or disprove - If a divides b and b divides a does a=b
negative_passages.docid: 13415
negative_passages.text: How to show if $A \subseteq B$, then $A \cap B = A$?
negative_passages.docid: 13026
negative_passages.text: Prove that if AB=I_m, then rk(A)=rk(B).
negative_passages.docid: 131844
negative_passages.text: When does $(e^a)^b = e^{ab}$ hold?
negative_passages.docid: 136835
negative_passages.text: ZF Set Theory - If $|A|^{|B|} = |B|$, then $|A| = 1 = |B|.$
negative_passages.docid: 67717
negative_passages.text: $A \oplus B = A \oplus C$ imply $B = C$?
negative_passages.docid: 105832
negative_passages.text: prove that if $\gcd(a,b)=1$ then $\gcd(a^2, b^2)=1$
negative_passages.docid: 3301
negative_passages.text: If $AB = I$ then $BA = I$
negative_passages.docid: 110661
negative_passages.text: When does $\sqrt{a b} = \sqrt{a} \sqrt{b}$?