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Mirrors > Home > NFE Home > Th. List > pm2.61iii | Unicode version |
Description: Inference eliminating three antecedents. (Contributed by NM, 2-Jan-2002.) (Proof shortened by Wolf Lammen, 22-Sep-2013.) |
Ref | Expression |
---|---|
pm2.61iii.1 |
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pm2.61iii.2 |
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pm2.61iii.3 |
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pm2.61iii.4 |
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Ref | Expression |
---|---|
pm2.61iii |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.61iii.4 |
. 2
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2 | pm2.61iii.1 |
. . 3
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3 | pm2.61iii.2 |
. . . 4
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4 | 3 | a1d 22 |
. . 3
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5 | pm2.61iii.3 |
. . . 4
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6 | 5 | a1d 22 |
. . 3
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7 | 2, 4, 6 | pm2.61ii 157 |
. 2
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8 | 1, 7 | pm2.61i 156 |
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 is referenced by: (None) |
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