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Mirrors > Home > NFE Home > Th. List > 3bitr3rd | Unicode version |
Description: Deduction from transitivity of biconditional. (Contributed by NM, 4-Aug-2006.) |
Ref | Expression |
---|---|
3bitr3d.1 | |
3bitr3d.2 | |
3bitr3d.3 |
Ref | Expression |
---|---|
3bitr3rd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3bitr3d.3 | . 2 | |
2 | 3bitr3d.1 | . . 3 | |
3 | 3bitr3d.2 | . . 3 | |
4 | 2, 3 | bitr3d 246 | . 2 |
5 | 1, 4 | bitr3d 246 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 |
This theorem is referenced by: (None) |
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