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Mirrors > Home > NFE Home > Th. List > syl31anc | Unicode version |
Description: Syllogism combined with contraction. (Contributed by NM, 11-Mar-2012.) |
Ref | Expression |
---|---|
sylXanc.1 | |
sylXanc.2 | |
sylXanc.3 | |
sylXanc.4 | |
syl31anc.5 |
Ref | Expression |
---|---|
syl31anc |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylXanc.1 | . . 3 | |
2 | sylXanc.2 | . . 3 | |
3 | sylXanc.3 | . . 3 | |
4 | 1, 2, 3 | 3jca 1132 | . 2 |
5 | sylXanc.4 | . 2 | |
6 | syl31anc.5 | . 2 | |
7 | 4, 5, 6 | syl2anc 642 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 358 w3a 934 |
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 df-3an 936 |
This theorem is referenced by: syl32anc 1190 ltfinirr 4457 vfin1cltv 4547 leconnnc 6218 tlecg 6230 |
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