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Mirrors > Home > ILE Home > Th. List > df-co | Unicode version |
Description: Define the composition of
two classes. Definition 6.6(3) of
[TakeutiZaring] p. 24. Note that
Definition 7 of [Suppes] p. 63
reverses ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-co |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
![]() ![]() | |
2 | cB |
. . 3
![]() ![]() | |
3 | 1, 2 | ccom 4551 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() |
4 | vx |
. . . . . . 7
![]() ![]() | |
5 | 4 | cv 1331 |
. . . . . 6
![]() ![]() |
6 | vz |
. . . . . . 7
![]() ![]() | |
7 | 6 | cv 1331 |
. . . . . 6
![]() ![]() |
8 | 5, 7, 2 | wbr 3937 |
. . . . 5
![]() ![]() ![]() ![]() |
9 | vy |
. . . . . . 7
![]() ![]() | |
10 | 9 | cv 1331 |
. . . . . 6
![]() ![]() |
11 | 7, 10, 1 | wbr 3937 |
. . . . 5
![]() ![]() ![]() ![]() |
12 | 8, 11 | wa 103 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 12, 6 | wex 1469 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 13, 4, 9 | copab 3996 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 3, 14 | wceq 1332 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: coss1 4702 coss2 4703 nfco 4712 elco 4713 brcog 4714 cnvco 4732 cotr 4928 relco 5045 coundi 5048 coundir 5049 cores 5050 xpcom 5093 dffun2 5141 funco 5171 xpcomco 6728 |
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