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Mirrors > Home > ILE Home > Th. List > jaao | Unicode version |
Description: Inference conjoining and disjoining the antecedents of two implications. (Contributed by NM, 30-Sep-1999.) |
Ref | Expression |
---|---|
jaao.1 | |
jaao.2 |
Ref | Expression |
---|---|
jaao |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jaao.1 | . . 3 | |
2 | 1 | adantr 274 | . 2 |
3 | jaao.2 | . . 3 | |
4 | 3 | adantl 275 | . 2 |
5 | 2, 4 | jaod 707 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wo 698 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: pm3.48 775 prlem1 958 nford 1547 funun 5214 poxp 6179 nntri3or 6440 |
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