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Mirrors > Home > NFE Home > Th. List > sylan9r | Unicode version |
Description: Nested syllogism inference conjoining dissimilar antecedents. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
sylan9r.1 | |
sylan9r.2 |
Ref | Expression |
---|---|
sylan9r |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylan9r.1 | . . 3 | |
2 | sylan9r.2 | . . 3 | |
3 | 1, 2 | syl9r 67 | . 2 |
4 | 3 | imp 418 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 358 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-an 360 |
This theorem is referenced by: sbequi 2059 opkth1g 4130 ncfinraise 4481 funun 5146 |
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