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Mirrors > Home > ILE Home > Th. List > dfbi2 | Unicode version |
Description: A theorem similar to the standard definition of the biconditional. Definition of [Margaris] p. 49. (Contributed by NM, 5-Aug-1993.) (Revised by NM, 31-Jan-2015.) |
Ref | Expression |
---|---|
dfbi2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-bi 117 |
. . 3
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2 | 1 | simpli 111 |
. 2
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3 | 1 | simpri 113 |
. 2
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4 | 2, 3 | impbii 126 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: pm4.71 389 pm5.17dc 904 dcbi 936 orbididc 953 trubifal 1416 albiim 1487 hbbi 1548 hbbid 1575 nfbid 1588 spsbbi 1844 sbbi 1959 cleqh 2277 ralbiim 2611 reu8 2933 sseq2 3179 soeq2 4313 fun11 5279 dffo3 5659 bdbi 14234 |
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