![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > cbv1v | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 5-Aug-1993.) (Revised by BJ, 16-Jun-2019.) |
Ref | Expression |
---|---|
cbv1v.1 |
![]() ![]() ![]() ![]() |
cbv1v.2 |
![]() ![]() ![]() ![]() |
cbv1v.3 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
cbv1v.4 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
cbv1v.5 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
cbv1v |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbv1v.2 |
. . . . 5
![]() ![]() ![]() ![]() | |
2 | cbv1v.3 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | nfim1 1571 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4 | cbv1v.1 |
. . . . 5
![]() ![]() ![]() ![]() | |
5 | cbv1v.4 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | 4, 5 | nfim1 1571 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | cbv1v.5 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 7 | com12 30 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 8 | a2d 26 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | 3, 6, 9 | cbv3v 1744 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | 4 | 19.21 1583 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 1 | 19.21 1583 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 10, 11, 12 | 3imtr3i 200 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 13 | pm2.86i 99 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 ax-i9 1530 ax-ial 1534 ax-i5r 1535 |
This theorem depends on definitions: df-bi 117 df-nf 1461 |
This theorem is referenced by: cbv2w 1750 |
Copyright terms: Public domain | W3C validator |