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Mirrors > Home > ILE Home > Th. List > syli | Unicode version |
Description: Syllogism inference with common nested antecedent. (Contributed by NM, 4-Nov-2004.) |
Ref | Expression |
---|---|
syli.1 | |
syli.2 |
Ref | Expression |
---|---|
syli |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syli.1 | . 2 | |
2 | syli.2 | . . 3 | |
3 | 2 | com12 30 | . 2 |
4 | 1, 3 | sylcom 28 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: ibd 177 bijadc 877 sbi2v 1885 elab3gf 2880 elreldm 4835 tz6.12c 5524 rntpos 6233 smores 6268 f1domg 6732 negm 9561 |
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