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Mirrors > Home > NFE Home > Th. List > syl21anc | Unicode version |
Description: Syllogism combined with contraction. (Contributed by Jeff Hankins, 1-Aug-2009.) |
Ref | Expression |
---|---|
sylXanc.1 | |
sylXanc.2 | |
sylXanc.3 | |
syl21anc.4 |
Ref | Expression |
---|---|
syl21anc |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylXanc.1 | . . 3 | |
2 | sylXanc.2 | . . 3 | |
3 | sylXanc.3 | . . 3 | |
4 | 1, 2, 3 | jca31 520 | . 2 |
5 | syl21anc.4 | . 2 | |
6 | 4, 5 | syl 15 | 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: funprgOLD 5150 fnunsn 5190 fvun1 5379 |
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