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Mirrors > Home > NFE Home > Th. List > dfbi1 | Unicode version |
Description: Relate the biconditional connective to primitive connectives. See dfbi1gb 185 for an unusual version proved directly from axioms. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
dfbi1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-bi 177 |
. . 3
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2 | simplim 143 |
. . 3
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3 | 1, 2 | ax-mp 5 |
. 2
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4 | bi3 179 |
. . 3
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5 | 4 | impi 140 |
. 2
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6 | 3, 5 | impbii 180 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
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: bi2 189 dfbi2 609 tbw-bijust 1463 rb-bijust 1514 nfbidOLD 1833 |
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