![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > 3imtr3g | Unicode version |
Description: More general version of 3imtr3i 200. Useful for converting definitions in a formula. (Contributed by NM, 20-May-1996.) (Proof shortened by Wolf Lammen, 20-Dec-2013.) |
Ref | Expression |
---|---|
3imtr3g.1 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
3imtr3g.2 |
![]() ![]() ![]() ![]() ![]() ![]() |
3imtr3g.3 |
![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
3imtr3g |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3imtr3g.2 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 3imtr3g.1 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | biimtrrid 153 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4 | 3imtr3g.3 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() | |
5 | 3, 4 | imbitrdi 161 |
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 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: dvelimfALT2 1828 dvelimf 2031 dveeq1 2035 sspwb 4245 ssopab2b 4307 wetrep 4391 imadif 5334 ssoprab2b 5975 iinerm 6661 uzind 9428 bezoutlembi 12142 subrgdvds 13731 |
Copyright terms: Public domain | W3C validator |