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Mirrors > Home > ILE Home > Th. List > 3imtr3d | Unicode version |
Description: More general version of 3imtr3i 189. 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 138 | . 2 |
5 | 1, 4 | sylbird 159 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: f1imass 5413 fornex 5742 tposfn2 5881 freccl 5993 eroveu 6197 indpi 6440 axcaucvglemres 6973 caucvgrelemcau 9579 |
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