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Mirrors > Home > ILE Home > Th. List > 3jcad | Unicode version |
Description: Deduction conjoining the consequents of three implications. (Contributed by NM, 25-Sep-2005.) |
Ref | Expression |
---|---|
3jcad.1 |
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3jcad.2 |
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3jcad.3 |
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Ref | Expression |
---|---|
3jcad |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3jcad.1 |
. . . 4
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2 | 1 | imp 124 |
. . 3
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3 | 3jcad.2 |
. . . 4
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4 | 3 | imp 124 |
. . 3
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5 | 3jcad.3 |
. . . 4
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6 | 5 | imp 124 |
. . 3
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7 | 2, 4, 6 | 3jca 1177 |
. 2
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8 | 7 | ex 115 |
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 106 ax-ia2 107 ax-ia3 108 |
This theorem depends on definitions: df-bi 117 df-3an 980 |
This theorem is referenced by: ixxssixx 9889 iccid 9912 fzen 10029 |
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