Category:Bounded Below Mappings

From ProofWiki
Jump to navigation Jump to search

This category contains results about Bounded Below Mappings.

Let $f: S \to T$ be a mapping whose codomain is an ordered set $\struct {T, \preceq}$.

Then $f$ is said to be bounded below (in $T$) by the lower bound $L$ if and only if:

$\forall x \in S: L \preceq \map f x$

That is, iff $f \sqbrk S = \set {\map f x: x \in S}$ is bounded below by $L$.


This category has only the following subcategory.