![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > cbvald | Unicode version |
Description: Deduction used to change bound variables, using implicit substitution, particularly useful in conjunction with dvelim 1993. (Contributed by NM, 2-Jan-2002.) (Revised by Mario Carneiro, 6-Oct-2016.) (Revised by Wolf Lammen, 13-May-2018.) |
Ref | Expression |
---|---|
cbvald.1 |
![]() ![]() ![]() ![]() |
cbvald.2 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
cbvald.3 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
cbvald |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1509 |
. 2
![]() ![]() ![]() ![]() | |
2 | cbvald.1 |
. 2
![]() ![]() ![]() ![]() | |
3 | cbvald.2 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | nfv 1509 |
. . 3
![]() ![]() ![]() ![]() | |
5 | 4 | a1i 9 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | cbvald.3 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
7 | 1, 2, 3, 5, 6 | cbv2 1726 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 |
This theorem depends on definitions: df-bi 116 df-nf 1438 |
This theorem is referenced by: cbvaldva 1901 |
Copyright terms: Public domain | W3C validator |