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Mirrors > Home > ILE Home > Th. List > bitr2di | Unicode version |
Description: A syllogism inference from two biconditionals. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
bitr2di.1 | |
bitr2di.2 |
Ref | Expression |
---|---|
bitr2di |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bitr2di.1 | . . 3 | |
2 | bitr2di.2 | . . 3 | |
3 | 1, 2 | bitrdi 195 | . 2 |
4 | 3 | bicomd 140 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: bitr4id 198 bibif 688 pm5.61 784 oranabs 805 pm5.7dc 939 nbbndc 1376 resopab2 4910 xpcom 5129 f1od2 6176 map1 6750 ac6sfi 6836 elznn0 9165 rexuz3 10872 xrmaxiflemcom 11128 metrest 12866 sincosq3sgn 13109 sincosq4sgn 13110 |
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