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Mirrors > Home > ILE Home > Th. List > raaanlem | Unicode version |
Description: Special case of raaan 3529 where ![]() |
Ref | Expression |
---|---|
raaan.1 |
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raaan.2 |
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Ref | Expression |
---|---|
raaanlem |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eleq1 2240 |
. . . 4
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2 | 1 | cbvexv 1918 |
. . 3
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3 | raaan.1 |
. . . . 5
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4 | 3 | r19.28m 3512 |
. . . 4
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5 | 4 | ralbidv 2477 |
. . 3
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6 | 2, 5 | sylbi 121 |
. 2
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7 | nfcv 2319 |
. . . 4
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8 | raaan.2 |
. . . 4
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9 | 7, 8 | nfralxy 2515 |
. . 3
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10 | 9 | r19.27m 3518 |
. 2
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11 | 6, 10 | bitrd 188 |
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 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-nf 1461 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 |
This theorem is referenced by: raaan 3529 |
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