definition of map preimage of subset of codomain
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 map preimage of subset of codomain.
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:
\( S_1\): \(\in \{\text{ the sets }\}\)
\( S_2\): \(\in \{\text{ the sets }\}\)
\( f\): \(: S_1 \to S_2\)
\( S\): \(\subseteq S_2\)
\(*f^{-1} (S)\): \(= \{s_1 \in S_1 \vert f (s_1) \in S\}\)
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Conditions:
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