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Definition df-cid 15653
 Description: Define the category identity arrow. Since it is uniquely defined when it exists, we do not need to add it to the data of the category, and instead extract it by uniqueness. (Contributed by Mario Carneiro, 3-Jan-2017.)
Assertion
Ref Expression
df-cid comp
Distinct variable group:   ,,,,,,,

Detailed syntax breakdown of Definition df-cid
StepHypRef Expression
1 ccid 15649 . 2
2 vc . . 3
3 ccat 15648 . . 3
4 vb . . . 4
52cv 1451 . . . . 5
6 cbs 15199 . . . . 5
75, 6cfv 5589 . . . 4
8 vh . . . . 5
9 chom 15279 . . . . . 6
105, 9cfv 5589 . . . . 5
11 vo . . . . . 6
12 cco 15280 . . . . . . 7 comp
135, 12cfv 5589 . . . . . 6 comp
14 vx . . . . . . 7
154cv 1451 . . . . . . 7
16 vg . . . . . . . . . . . . . 14
1716cv 1451 . . . . . . . . . . . . 13
18 vf . . . . . . . . . . . . . 14
1918cv 1451 . . . . . . . . . . . . 13
20 vy . . . . . . . . . . . . . . . 16
2120cv 1451 . . . . . . . . . . . . . . 15
2214cv 1451 . . . . . . . . . . . . . . 15
2321, 22cop 3965 . . . . . . . . . . . . . 14
2411cv 1451 . . . . . . . . . . . . . 14
2523, 22, 24co 6308 . . . . . . . . . . . . 13
2617, 19, 25co 6308 . . . . . . . . . . . 12
2726, 19wceq 1452 . . . . . . . . . . 11
288cv 1451 . . . . . . . . . . . 12
2921, 22, 28co 6308 . . . . . . . . . . 11
3027, 18, 29wral 2756 . . . . . . . . . 10
3122, 22cop 3965 . . . . . . . . . . . . . 14
3231, 21, 24co 6308 . . . . . . . . . . . . 13
3319, 17, 32co 6308 . . . . . . . . . . . 12
3433, 19wceq 1452 . . . . . . . . . . 11
3522, 21, 28co 6308 . . . . . . . . . . 11
3634, 18, 35wral 2756 . . . . . . . . . 10
3730, 36wa 376 . . . . . . . . 9
3837, 20, 15wral 2756 . . . . . . . 8
3922, 22, 28co 6308 . . . . . . . 8
4038, 16, 39crio 6269 . . . . . . 7
4114, 15, 40cmpt 4454 . . . . . 6
4211, 13, 41csb 3349 . . . . 5 comp
438, 10, 42csb 3349 . . . 4 comp
444, 7, 43csb 3349 . . 3 comp
452, 3, 44cmpt 4454 . 2 comp
461, 45wceq 1452 1 comp
 Colors of variables: wff setvar class This definition is referenced by:  cidfval  15660  cidffn  15662
 Copyright terms: Public domain W3C validator