Definition df-epi 17744

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 ∈ Cat ↦ tpos (Mono‘(oppCat‘𝑐)))

Detailed syntax breakdown of Definition df-epi

Step	Hyp	Ref	Expression
1		cepi 17742	. 2 class Epi
2		vc	. . 3 setvar 𝑐
3		ccat 17676	. . 3 class Cat
4	2	cv 1539	. . . . . 6 class 𝑐
5		coppc 17723	. . . . . 6 class oppCat
6	4, 5	cfv 6531	. . . . 5 class (oppCat‘𝑐)
7		cmon 17741	. . . . 5 class Mono
8	6, 7	cfv 6531	. . . 4 class (Mono‘(oppCat‘𝑐))
9	8	ctpos 8224	. . 3 class tpos (Mono‘(oppCat‘𝑐))
10	2, 3, 9	cmpt 5201	. 2 class (𝑐 ∈ Cat ↦ tpos (Mono‘(oppCat‘𝑐)))
11	1, 10	wceq 1540	1 wff Epi = (𝑐 ∈ Cat ↦ tpos (Mono‘(oppCat‘𝑐)))

This definition is referenced by:  oppcmon  17751