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Mirrors > Home > NFE Home > Th. List > bibi1d | Unicode version |
Description: Deduction adding a biconditional to the right in an equivalence. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
imbid.1 |
Ref | Expression |
---|---|
bibi1d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imbid.1 | . . 3 | |
2 | 1 | bibi2d 309 | . 2 |
3 | bicom 191 | . 2 | |
4 | bicom 191 | . 2 | |
5 | 2, 3, 4 | 3bitr4g 279 | 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: bibi12d 312 bibi1 317 biass 348 eubid 2211 axext3 2336 bm1.1 2338 eqeq1 2359 pm13.183 2979 elabgt 2982 mob 3018 sbctt 3108 sbcabel 3123 br1stg 4730 isoeq2 5483 extd 5923 |
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