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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 |
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jaoian.2 |
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Ref | Expression |
---|---|
jaoian |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jaoian.1 |
. . . 4
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2 | 1 | ex 114 |
. . 3
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3 | jaoian.2 |
. . . 4
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4 | 3 | ex 114 |
. . 3
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5 | 2, 4 | jaoi 706 |
. 2
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6 | 5 | imp 123 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
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: ordi 806 ccase 949 xaddnemnf 9670 xaddnepnf 9671 faclbnd 10519 faclbnd3 10521 |
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