![]() |
New Foundations Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > NFE Home > Th. List > df-co | Unicode version |
Description: Define the composition of two classes. (Contributed by SF, 5-Jan-2015.) |
Ref | Expression |
---|---|
df-co |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
![]() ![]() | |
2 | cB |
. . 3
![]() ![]() | |
3 | 1, 2 | ccom 4721 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() |
4 | vx |
. . . . . . 7
![]() ![]() | |
5 | 4 | cv 1641 |
. . . . . 6
![]() ![]() |
6 | vz |
. . . . . . 7
![]() ![]() | |
7 | 6 | cv 1641 |
. . . . . 6
![]() ![]() |
8 | 5, 7, 2 | wbr 4639 |
. . . . 5
![]() ![]() ![]() ![]() |
9 | vy |
. . . . . . 7
![]() ![]() | |
10 | 9 | cv 1641 |
. . . . . 6
![]() ![]() |
11 | 7, 10, 1 | wbr 4639 |
. . . . 5
![]() ![]() ![]() ![]() |
12 | 8, 11 | wa 358 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 12, 6 | wex 1541 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 13, 4, 9 | copab 4622 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 3, 14 | wceq 1642 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: dfco1 4748 coss1 4872 coss2 4873 nfco 4882 brco 4883 cnvco 4894 coundi 5082 coundir 5083 cores 5084 df2nd2 5111 funco 5142 composeex 5820 |
Copyright terms: Public domain | W3C validator |