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Mirrors > Home > ILE Home > Th. List > syl8ib | Unicode version |
Description: A syllogism rule of inference. The second premise is used to replace the consequent of the first premise. (Contributed by NM, 1-Aug-1994.) |
Ref | Expression |
---|---|
syl8ib.1 | |
syl8ib.2 |
Ref | Expression |
---|---|
syl8ib |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl8ib.1 | . 2 | |
2 | syl8ib.2 | . . 3 | |
3 | 2 | biimpi 113 | . 2 |
4 | 1, 3 | syl8 65 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: pm3.2an3 1083 necon4bddc 2276 necon4abiddc 2278 necon4bbiddc 2279 necon4biddc 2280 |
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