Definition df-epi 16391

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

Step	Hyp	Ref	Expression
1		cepi 16389	. 2 class Epi
2		vc	. . 3 setvar c
3		ccat 16325	. . 3 class Cat
4	2	cv 1482	. . . . . 6 class c
5		coppc 16371	. . . . . 6 class oppCat
6	4, 5	cfv 5888	. . . . 5 class (oppCat ` c )
7		cmon 16388	. . . . 5 class Mono
8	6, 7	cfv 5888	. . . 4 class (Mono ` (oppCat ` c ) )
9	8	ctpos 7351	. . 3 class tpos (Mono ` (oppCat ` c ) )
10	2, 3, 9	cmpt 4729	. 2 class ( c e. Cat |-> tpos (Mono ` (oppCat ` c ) ) )
11	1, 10	wceq 1483	1 wff Epi = ( c e. Cat |-> tpos (Mono ` (oppCat ` c ) ) )

This definition is referenced by:  oppcmon  16398