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Mirrors > Home > NFE Home > Th. List > syl2anr | Unicode version |
Description: A double syllogism inference. (Contributed by NM, 17-Sep-2013.) |
Ref | Expression |
---|---|
syl2an.1 | |
syl2an.2 | |
syl2an.3 |
Ref | Expression |
---|---|
syl2anr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl2an.1 | . . 3 | |
2 | syl2an.2 | . . 3 | |
3 | syl2an.3 | . . 3 | |
4 | 1, 2, 3 | syl2an 463 | . 2 |
5 | 4 | ancoms 439 | 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: funco 5142 resdif 5306 enmap2lem5 6067 sbthlem3 6205 |
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