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Definition df-epi 13949
Description: Function returning the epimorphisms of the category  c. JFM CAT1 def. 11. (Contributed by FL, 8-Aug-2008.) (Revised by Mario Carneiro, 2-Jan-2017.)
Assertion
Ref Expression
df-epi  |- Epi  =  ( c  e.  Cat  |-> tpos  (Mono `  (oppCat `  c )
) )

Detailed syntax breakdown of Definition df-epi
StepHypRef Expression
1 cepi 13947 . 2  class Epi
2 vc . . 3  set  c
3 ccat 13881 . . 3  class  Cat
42cv 1651 . . . . . 6  class  c
5 coppc 13929 . . . . . 6  class oppCat
64, 5cfv 5446 . . . . 5  class  (oppCat `  c )
7 cmon 13946 . . . . 5  class Mono
86, 7cfv 5446 . . . 4  class  (Mono `  (oppCat `  c ) )
98ctpos 6470 . . 3  class tpos  (Mono `  (oppCat `  c ) )
102, 3, 9cmpt 4258 . 2  class  ( c  e.  Cat  |-> tpos  (Mono `  (oppCat `  c ) ) )
111, 10wceq 1652 1  wff Epi  =  ( c  e.  Cat  |-> tpos  (Mono `  (oppCat `  c )
) )
Colors of variables: wff set class
This definition is referenced by:  oppcmon  13956
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