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partial_function [2013/12/29 22:20] nikolaj |
partial_function [2014/04/01 16:25] nikolaj |
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===== Partial function ===== | ===== Partial function ===== | ||
==== Set ==== | ==== Set ==== | ||
- | Let | + | | @#55CCEE: context | @#55CCEE: $X,Y$ | |
- | | @#88DDEE: $X,Y$ | | + | | @#FFBB00: definiendum | @#FFBB00: $ f\in\text{PartialFunction}(X,Y) $ | |
- | be sets. Then | + | | @#55CCEE: context | @#55CCEE: $ f \in \text{Rel}(X,Y) $ | |
- | | @#FFBB00: $ f\in\text{PartialFunction}(X,Y) $ | | + | | @#55EE55: postulate | @#55EE55: $ \langle x,a\rangle\in f \land \langle x,b\rangle\in f \Rightarrow a=b $ | |
- | if | + | |
- | | @#88DDEE: $ f \in \text{Rel}(X,Y) $ | | + | |
- | | @#55EE55: $ \langle x,a\rangle\in f \land \langle x,b\rangle\in f \Rightarrow a=b $ | | + | |
==== Discussion ==== | ==== Discussion ==== |