![]() |
New Foundations Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > NFE Home > Th. List > vtocl3gf | Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 10-Aug-2013.) (Revised by Mario Carneiro, 10-Oct-2016.) |
Ref | Expression |
---|---|
vtocl3gf.a |
![]() ![]() ![]() ![]() |
vtocl3gf.b |
![]() ![]() ![]() ![]() |
vtocl3gf.c |
![]() ![]() ![]() ![]() |
vtocl3gf.d |
![]() ![]() ![]() ![]() |
vtocl3gf.e |
![]() ![]() ![]() ![]() |
vtocl3gf.f |
![]() ![]() ![]() ![]() |
vtocl3gf.1 |
![]() ![]() ![]() ![]() |
vtocl3gf.2 |
![]() ![]() ![]() ![]() |
vtocl3gf.3 |
![]() ![]() ![]() ![]() |
vtocl3gf.4 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
vtocl3gf.5 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
vtocl3gf.6 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
vtocl3gf.7 |
![]() ![]() |
Ref | Expression |
---|---|
vtocl3gf |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex 2867 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | vtocl3gf.d |
. . . 4
![]() ![]() ![]() ![]() | |
3 | vtocl3gf.e |
. . . 4
![]() ![]() ![]() ![]() | |
4 | vtocl3gf.f |
. . . 4
![]() ![]() ![]() ![]() | |
5 | vtocl3gf.b |
. . . . . 6
![]() ![]() ![]() ![]() | |
6 | 5 | nfel1 2499 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
7 | vtocl3gf.2 |
. . . . 5
![]() ![]() ![]() ![]() | |
8 | 6, 7 | nfim 1813 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | vtocl3gf.c |
. . . . . 6
![]() ![]() ![]() ![]() | |
10 | 9 | nfel1 2499 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
11 | vtocl3gf.3 |
. . . . 5
![]() ![]() ![]() ![]() | |
12 | 10, 11 | nfim 1813 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | vtocl3gf.5 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
14 | 13 | imbi2d 307 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | vtocl3gf.6 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
16 | 15 | imbi2d 307 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | vtocl3gf.a |
. . . . 5
![]() ![]() ![]() ![]() | |
18 | vtocl3gf.1 |
. . . . 5
![]() ![]() ![]() ![]() | |
19 | vtocl3gf.4 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
20 | vtocl3gf.7 |
. . . . 5
![]() ![]() | |
21 | 17, 18, 19, 20 | vtoclgf 2913 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
22 | 2, 3, 4, 8, 12, 14, 16, 21 | vtocl2gf 2916 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
23 | 1, 22 | mpan9 455 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
24 | 23 | 3impb 1147 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-3an 936 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2478 df-v 2861 |
This theorem is referenced by: vtocl3gaf 2923 |
Copyright terms: Public domain | W3C validator |