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surjective_function [2014/10/29 19:53] nikolaj |
surjective_function [2014/10/29 19:53] nikolaj |
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| ==== Discussion ==== | ==== Discussion ==== | ||
| A function can only be or not be surjective w.r.t. to a stated codomain. A function is always surjective w.r.t. it's own image. See [[Function]] for further discussion. | A function can only be or not be surjective w.r.t. to a stated codomain. A function is always surjective w.r.t. it's own image. See [[Function]] for further discussion. | ||
| - | === Predicates === | + | |
| - | | @#EEEE55: predicate | @#EEEE55: $Y$ ... countable $\equiv \mathrm{Surjective}(\mathbb{N},Y)\neq\emptyset$ | | + | |
| ==== Parents ==== | ==== Parents ==== | ||
| === Subset of === | === Subset of === | ||
