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Mirrors > Home > NFE Home > Th. List > consensus | Unicode version |
Description: The consensus theorem.
This theorem and its dual (with ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
consensus |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 19 |
. . 3
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2 | orc 374 |
. . . . 5
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3 | 2 | adantrr 697 |
. . . 4
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4 | olc 373 |
. . . . 5
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5 | 4 | adantrl 696 |
. . . 4
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6 | 3, 5 | pm2.61ian 765 |
. . 3
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7 | 1, 6 | jaoi 368 |
. 2
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8 | orc 374 |
. 2
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9 | 7, 8 | impbii 180 |
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 |
This theorem is referenced by: (None) |
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