Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > 3biant1d | Structured version Visualization version Unicode version |
Description: A conjunction is equivalent to a threefold conjunction with single truth, analogous to biantrud 528. (Contributed by Alexander van der Vekens, 26-Sep-2017.) |
Ref | Expression |
---|---|
3biantd.1 |
Ref | Expression |
---|---|
3biant1d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3biantd.1 | . . 3 | |
2 | 1 | biantrurd 529 | . 2 |
3 | 3anass 1042 | . 2 | |
4 | 2, 3 | syl6bbr 278 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 w3a 1037 |
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 197 df-an 386 df-3an 1039 |
This theorem is referenced by: metuel2 22370 itgsubst 23812 clwlkclwwlk 26903 dfgcd3 33170 itg2addnclem2 33462 |
Copyright terms: Public domain | W3C validator |