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Mirrors > Home > ILE Home > Th. List > jaoian | Unicode version |
Description: Inference disjoining the antecedents of two implications. (Contributed by NM, 23-Oct-2005.) |
Ref | Expression |
---|---|
jaoian.1 | |
jaoian.2 |
Ref | Expression |
---|---|
jaoian |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jaoian.1 | . . . 4 | |
2 | 1 | ex 113 | . . 3 |
3 | jaoian.2 | . . . 4 | |
4 | 3 | ex 113 | . . 3 |
5 | 2, 4 | jaoi 668 | . 2 |
6 | 5 | imp 122 | 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: ordi 762 ccase 905 faclbnd 9668 faclbnd3 9670 |
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