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Mirrors > Home > NFE Home > Th. List > biimp3ar | Unicode version |
Description: Infer implication from a logical equivalence. Similar to biimpar 471. (Contributed by NM, 2-Jan-2009.) |
Ref | Expression |
---|---|
biimp3a.1 |
Ref | Expression |
---|---|
biimp3ar |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | biimp3a.1 | . . 3 | |
2 | 1 | exbiri 605 | . 2 |
3 | 2 | 3imp 1145 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 w3a 934 |
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 df-an 360 df-3an 936 |
This theorem is referenced by: rmoi 3135 ovmpt2x 5712 ceclr 6187 |
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