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set [2014/12/05 15:14]
nikolaj
set [2014/12/05 15:21]
nikolaj old revision restored (2014/12/05 15:14)
Line 1: Line 1:
 ===== Set ===== ===== Set =====
 ==== Category ==== ==== Category ====
 +| @#55CCEE: context ​    | @#55CCEE: ${\mathfrak U}_\mathrm{Sets}$ ... set universe |
 | @#FFBB00: definiendum | @#FFBB00: ${\bf Set}$  | | @#FFBB00: definiendum | @#FFBB00: ${\bf Set}$  |
-| @#55EE55: postulate ​  | @#55EE55: $\mathrm{Ob}_{\bf Set}\in{\mathfrak U}_\mathrm{Sets}$ |+| @#55EE55: postulate ​  | @#55EE55: $\mathrm{Ob}_{\bf Set}:={\mathfrak U}_\mathrm{Sets}$ |
 | @#AAFFAA: inclusion ​  | @#AAFFAA: ${\bf Set}$ ... locally small category | | @#AAFFAA: inclusion ​  | @#AAFFAA: ${\bf Set}$ ... locally small category |
 | @#55EE55: postulate ​  | @#55EE55: $f\in{\bf Set}[X,Y]\ \ \Leftrightarrow\ \ f:X\to Y$ | | @#55EE55: postulate ​  | @#55EE55: $f\in{\bf Set}[X,Y]\ \ \Leftrightarrow\ \ f:X\to Y$ |
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