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Mirrors > Home > NFE Home > Th. List > 3orim123d | Unicode version |
Description: Deduction joining 3 implications to form implication of disjunctions. (Contributed by NM, 4-Apr-1997.) |
Ref | Expression |
---|---|
3anim123d.1 |
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3anim123d.2 |
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3anim123d.3 |
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Ref | Expression |
---|---|
3orim123d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3anim123d.1 |
. . . 4
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2 | 3anim123d.2 |
. . . 4
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3 | 1, 2 | orim12d 811 |
. . 3
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4 | 3anim123d.3 |
. . 3
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5 | 3, 4 | orim12d 811 |
. 2
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6 | df-3or 935 |
. 2
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7 | df-3or 935 |
. 2
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8 | 5, 6, 7 | 3imtr4g 261 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-3or 935 |
This theorem is referenced by: nncdiv3 6278 |
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