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surjective_function [2014/02/08 02:48] nikolaj |
surjective_function [2014/02/08 02:48] nikolaj |
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| 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 === | === Predicates === | ||
| - | | @#EEEE55: $Y$ countable $\equiv \mathrm{Surjective}(\mathbb{N},Y)\neq\emptyset$ | | + | | @#EEEE55: $Y$ ... countable $\equiv \mathrm{Surjective}(\mathbb{N},Y)\neq\emptyset$ | |
| ==== Parents ==== | ==== Parents ==== | ||
| === Subset of === | === Subset of === | ||
