definition of injection
Topics
About: set
The table of contents of this article
Starting Context
- 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: Structured Description
Here is the rules of Structured Description.
Entities:
\(S_1\): \(\in \{\text{ the sets }\}\)
\(S_2\): \(\in \{\text{ the sets }\}\)
\(f\): \(: S_1 \to S_2\)
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Conditions: \(\forall s_{1, 1}, s_{1, 2} \in S_1 \text{ such that } s_{1, 1} \neq s_{1, 2} (f (s_{1, 1}) \neq f (s_{1, 2}))\)
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