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Mirrors > Home > ILE Home > Th. List > sylanblc | Unicode version |
Description: Syllogism inference combined with a biconditional. (Contributed by BJ, 25-Apr-2019.) |
Ref | Expression |
---|---|
sylanblc.1 | |
sylanblc.2 | |
sylanblc.3 |
Ref | Expression |
---|---|
sylanblc |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylanblc.1 | . 2 | |
2 | sylanblc.2 | . 2 | |
3 | sylanblc.3 | . . 3 | |
4 | 3 | biimpi 118 | . 2 |
5 | 1, 2, 4 | sylancl 404 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wb 103 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: (None) |
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