query: How to Show that this relation is not well defined.
positive_passages.docid: 114219
positive_passages.text: The map $f:\mathbb{Z}_3 \to \mathbb{Z}_6$ given by $f(x + 3\mathbb{Z}) = x + 6\mathbb{Z}$ is not well-defined
negative_passages.docid: 5293
negative_passages.text: Show that the logic $ \ \forall x \exists y \ P(x,y) \ $ is not logically equivalent to $ \ \exists x \forall y \ P(x,y) \ $
negative_passages.docid: 74546
negative_passages.text: Negating A Mathematical Statement
negative_passages.docid: 88188
negative_passages.text: Explain proof by contradiction.
negative_passages.docid: 85507
negative_passages.text: Equivalence Relation problem
negative_passages.docid: 14877
negative_passages.text: Why is this relation not transitive?
negative_passages.docid: 115996
negative_passages.text: Misleading Definitions and Unanswerable Problems in Spivak's Calculus
negative_passages.docid: 1508
negative_passages.text: How do I prove that a definition of an ordered pair does not satisfy the required property?
negative_passages.docid: 93724
negative_passages.text: How to substantiate the claim that something is not known?
negative_passages.docid: 108955
negative_passages.text: Showing $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R},+)$
negative_passages.docid: 137881
negative_passages.text: A not complete metric space?
negative_passages.docid: 27360
negative_passages.text: How to differentiate formally?
negative_passages.docid: 86284
negative_passages.text: A typical $L^p$ function does not have a well-defined trace on the boundary
negative_passages.docid: 15312
negative_passages.text: Show that $R \cap R^{−1}$ is an equivalence relation on $X$?
negative_passages.docid: 5323
negative_passages.text: Example to show the distance between two closed sets can be 0 even if the two sets are disjoint
negative_passages.docid: 134049
negative_passages.text: Showing an inequality is valid
negative_passages.docid: 70458
negative_passages.text: Show that it is possible that the limit $\displaystyle{\lim_{x \rightarrow +\infty} f'(x)} $ does not exist.