![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
Mirrors > Home > MPE Home > Th. List > df-setc | Structured version Unicode version |
Description: Definition of the
category Set, relativized to a subset ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-setc |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csetc 15031 |
. 2
![]() ![]() | |
2 | vu |
. . 3
![]() ![]() | |
3 | cvv 3054 |
. . 3
![]() ![]() | |
4 | cnx 14259 |
. . . . . 6
![]() ![]() | |
5 | cbs 14262 |
. . . . . 6
![]() ![]() | |
6 | 4, 5 | cfv 5502 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
7 | 2 | cv 1369 |
. . . . 5
![]() ![]() |
8 | 6, 7 | cop 3967 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | chom 14337 |
. . . . . 6
![]() ![]() | |
10 | 4, 9 | cfv 5502 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
11 | vx |
. . . . . 6
![]() ![]() | |
12 | vy |
. . . . . 6
![]() ![]() | |
13 | 12 | cv 1369 |
. . . . . . 7
![]() ![]() |
14 | 11 | cv 1369 |
. . . . . . 7
![]() ![]() |
15 | cmap 7300 |
. . . . . . 7
![]() ![]() | |
16 | 13, 14, 15 | co 6176 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
17 | 11, 12, 7, 7, 16 | cmpt2 6178 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 10, 17 | cop 3967 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | cco 14338 |
. . . . . 6
![]() | |
20 | 4, 19 | cfv 5502 |
. . . . 5
![]() ![]() ![]() ![]() ![]() |
21 | vv |
. . . . . 6
![]() ![]() | |
22 | vz |
. . . . . 6
![]() ![]() | |
23 | 7, 7 | cxp 4922 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
24 | vg |
. . . . . . 7
![]() ![]() | |
25 | vf |
. . . . . . 7
![]() ![]() | |
26 | 22 | cv 1369 |
. . . . . . . 8
![]() ![]() |
27 | 21 | cv 1369 |
. . . . . . . . 9
![]() ![]() |
28 | c2nd 6662 |
. . . . . . . . 9
![]() ![]() | |
29 | 27, 28 | cfv 5502 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() |
30 | 26, 29, 15 | co 6176 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
31 | c1st 6661 |
. . . . . . . . 9
![]() ![]() | |
32 | 27, 31 | cfv 5502 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() |
33 | 29, 32, 15 | co 6176 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
34 | 24 | cv 1369 |
. . . . . . . 8
![]() ![]() |
35 | 25 | cv 1369 |
. . . . . . . 8
![]() ![]() |
36 | 34, 35 | ccom 4928 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() |
37 | 24, 25, 30, 33, 36 | cmpt2 6178 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
38 | 21, 22, 23, 7, 37 | cmpt2 6178 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
39 | 20, 38 | cop 3967 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
40 | 8, 18, 39 | ctp 3965 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
41 | 2, 3, 40 | cmpt 4434 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
42 | 1, 41 | wceq 1370 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: setcval 15033 |
Copyright terms: Public domain | W3C validator |