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Mirrors > Home > ILE Home > Th. List > syl3c | Unicode version |
Description: A syllogism inference combined with contraction. (Contributed by Alan Sare, 7-Jul-2011.) |
Ref | Expression |
---|---|
syl3c.1 | |
syl3c.2 | |
syl3c.3 | |
syl3c.4 |
Ref | Expression |
---|---|
syl3c |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl3c.3 | . 2 | |
2 | syl3c.1 | . . 3 | |
3 | syl3c.2 | . . 3 | |
4 | syl3c.4 | . . 3 | |
5 | 2, 3, 4 | sylc 61 | . 2 |
6 | 1, 5 | mpd 13 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 |
This theorem is referenced by: bilukdc 1327 frirrg 4105 tfrlem1 5946 caucvgprprlemval 6878 peano5uzti 8455 lcmneg 10456 prmind2 10502 |
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