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Mirrors > Home > MPE Home > Th. List > jaoa | Structured version Visualization version Unicode version |
Description: Inference disjoining and conjoining the antecedents of two implications. (Contributed by Stefan Allan, 1-Nov-2008.) |
Ref | Expression |
---|---|
jaao.1 | |
jaao.2 |
Ref | Expression |
---|---|
jaoa |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jaao.1 | . . 3 | |
2 | 1 | adantrd 484 | . 2 |
3 | jaao.2 | . . 3 | |
4 | 3 | adantld 483 | . 2 |
5 | 2, 4 | jaoi 394 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wo 383 wa 384 |
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-an 386 |
This theorem is referenced by: pm4.79 607 19.40b 1815 abslt 14054 absle 14055 unconn 21232 dfon2lem4 31691 clsk1indlem3 38341 |
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