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Mirrors > Home > MPE Home > Th. List > df-1stf | Structured version Visualization version Unicode version |
Description: Define the first projection functor out of the product of categories. (Contributed by Mario Carneiro, 11-Jan-2017.) |
Ref | Expression |
---|---|
df-1stf | F c |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c1stf 16809 | . 2 F | |
2 | vr | . . 3 | |
3 | vs | . . 3 | |
4 | ccat 16325 | . . 3 | |
5 | vb | . . . 4 | |
6 | 2 | cv 1482 | . . . . . 6 |
7 | cbs 15857 | . . . . . 6 | |
8 | 6, 7 | cfv 5888 | . . . . 5 |
9 | 3 | cv 1482 | . . . . . 6 |
10 | 9, 7 | cfv 5888 | . . . . 5 |
11 | 8, 10 | cxp 5112 | . . . 4 |
12 | c1st 7166 | . . . . . 6 | |
13 | 5 | cv 1482 | . . . . . 6 |
14 | 12, 13 | cres 5116 | . . . . 5 |
15 | vx | . . . . . 6 | |
16 | vy | . . . . . 6 | |
17 | 15 | cv 1482 | . . . . . . . 8 |
18 | 16 | cv 1482 | . . . . . . . 8 |
19 | cxpc 16808 | . . . . . . . . . 10 c | |
20 | 6, 9, 19 | co 6650 | . . . . . . . . 9 c |
21 | chom 15952 | . . . . . . . . 9 | |
22 | 20, 21 | cfv 5888 | . . . . . . . 8 c |
23 | 17, 18, 22 | co 6650 | . . . . . . 7 c |
24 | 12, 23 | cres 5116 | . . . . . 6 c |
25 | 15, 16, 13, 13, 24 | cmpt2 6652 | . . . . 5 c |
26 | 14, 25 | cop 4183 | . . . 4 c |
27 | 5, 11, 26 | csb 3533 | . . 3 c |
28 | 2, 3, 4, 4, 27 | cmpt2 6652 | . 2 c |
29 | 1, 28 | wceq 1483 | 1 F c |
Colors of variables: wff setvar class |
This definition is referenced by: 1stfval 16831 |
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