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Mirrors > Home > NFE Home > Th. List > dfbi | Unicode version |
Description: Definition df-bi 177 rewritten in an abbreviated form to help intuitive understanding of that definition. Note that it is a conjunction of two implications; one which asserts properties that follow from the biconditional and one which asserts properties that imply the biconditional. (Contributed by NM, 15-Aug-2008.) |
Ref | Expression |
---|---|
dfbi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfbi2 609 | . . 3 | |
2 | 1 | biimpi 186 | . 2 |
3 | 1 | biimpri 197 | . 2 |
4 | 2, 3 | pm3.2i 441 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 |
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 df-an 360 |
This theorem is referenced by: (None) |
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