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Mirrors > Home > NFE Home > Th. List > 3anan12 | Unicode version |
Description: Convert triple conjunction to conjunction, then commute. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (Proof shortened by Andrew Salmon, 14-Jun-2011.) |
Ref | Expression |
---|---|
3anan12 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3ancoma 941 | . 2 | |
2 | 3anass 938 | . 2 | |
3 | 1, 2 | bitri 240 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 176 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: 2reu5lem3 3043 |
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