A definition of injection
Topics
About: set
The table of contents of this article
Starting Context
- The reader knows a definition of set.
- The reader knows a definition of map.
Target Context
- The reader will have a definition of injection.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Definition
For any sets, \(S_1\) and \(S_2\), any map, \(f: S_1 \to S_2\), such that for any pair of distinct elements, \(s_{11}, s_{12} \in S_1\) such that \(s_{11} \neq s_{12}\), \(f (s_{11}) \neq f (s_{12})\)
