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Mirrors > Home > MPE Home > Th. List > 3bior2fd | Structured version Visualization version Unicode version |
Description: A wff is equivalent to its threefold disjunction with double falsehood, analogous to biorf 420. (Contributed by Alexander van der Vekens, 8-Sep-2017.) |
Ref | Expression |
---|---|
3biorfd.1 | |
3biorfd.2 |
Ref | Expression |
---|---|
3bior2fd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3biorfd.2 | . . 3 | |
2 | biorf 420 | . . 3 | |
3 | 1, 2 | syl 17 | . 2 |
4 | 3biorfd.1 | . . 3 | |
5 | 4 | 3bior1fd 1438 | . 2 |
6 | 3, 5 | bitrd 268 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wo 383 w3o 1036 |
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-or 385 df-3or 1038 |
This theorem is referenced by: (None) |
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