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Mirrors > Home > ILE Home > Th. List > sylsyld | Unicode version |
Description: A double syllogism inference. (Contributed by Alan Sare, 20-Apr-2011.) |
Ref | Expression |
---|---|
sylsyld.1 | |
sylsyld.2 | |
sylsyld.3 |
Ref | Expression |
---|---|
sylsyld |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylsyld.2 | . 2 | |
2 | sylsyld.1 | . . 3 | |
3 | sylsyld.3 | . . 3 | |
4 | 2, 3 | syl 14 | . 2 |
5 | 1, 4 | syld 45 | 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: ax10o 1693 a16g 1836 trintssm 4037 funimaexglem 5201 smoiun 6191 findcard2 6776 ctssdc 6991 mkvprop 7025 ltexprlemrl 7411 archsr 7583 elfz0ubfz0 9895 ctinf 11932 |
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