New Foundations Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > NFE Home > Th. List > 3imtr3d | Unicode version |
Description: More general version of 3imtr3i 256. Useful for converting conditional definitions in a formula. (Contributed by NM, 8-Apr-1996.) |
Ref | Expression |
---|---|
3imtr3d.1 | |
3imtr3d.2 | |
3imtr3d.3 |
Ref | Expression |
---|---|
3imtr3d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3imtr3d.2 | . 2 | |
2 | 3imtr3d.1 | . . 3 | |
3 | 3imtr3d.3 | . . 3 | |
4 | 2, 3 | sylibd 205 | . 2 |
5 | 1, 4 | sylbird 226 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 |
This theorem depends on definitions: df-bi 177 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |