query: Equivalence Relation Proof Question
positive_passages.docid: 20736
positive_passages.text: Prove the relation $R$ in $N \times N$ defined by $(a,b) \simeq (c,d)$ iff $ad=bc$ is an equivalence relation.
negative_passages.docid: 66948
negative_passages.text: Proving question on sets
negative_passages.docid: 125028
negative_passages.text: Prove the following equality using mathematical induction:
negative_passages.docid: 60140
negative_passages.text: Proof of Equivalence Relation $R=\{(a,b)\in\Bbb N^2: 5\mid (2a+3b)\}$
negative_passages.docid: 110075
negative_passages.text: How to show the given equality
negative_passages.docid: 89167
negative_passages.text: Cardinality of equivalence relations in $\mathbb{N}$
negative_passages.docid: 16687
negative_passages.text: Number of Equivalence relations of $\{1,2,3\}$
negative_passages.docid: 104977
negative_passages.text: How to calculate equivalence relations
negative_passages.docid: 35362
negative_passages.text: Number of equivalence relations on a set
negative_passages.docid: 151038
negative_passages.text: How to prove (A v B), (A → C), (B → D) therefore (C v D)
negative_passages.docid: 53612
negative_passages.text: Same solution implying row equivalence?
negative_passages.docid: 20280
negative_passages.text: Proving that expression is equivalent to the definition of derivative
negative_passages.docid: 150738
negative_passages.text: Proof of $(A - B) - C = A - (B \cup C)$
negative_passages.docid: 18018
negative_passages.text: Proving that $4 \mid m - n$ is an equivalence relation on $\mathbb{Z}$
negative_passages.docid: 75007
negative_passages.text: How can I prove this relation between the elementary set theory and the elementary logic?
negative_passages.docid: 51877
negative_passages.text: Why is this 'Proof' by induction not valid?
negative_passages.docid: 71203
negative_passages.text: Proving that two systems of linear equations are equivalent if they have the same solutions