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Mirrors > Home > ILE Home > Th. List > jaoa | 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 273 | . 2 |
3 | jaao.2 | . . 3 | |
4 | 3 | adantld 272 | . 2 |
5 | 2, 4 | jaoi 668 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wo 661 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: pm4.79dc 842 |
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