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Mirrors > Home > ILE Home > Th. List > nfan1 | Unicode version |
Description: A closed form of nfan 1545. (Contributed by Mario Carneiro, 3-Oct-2016.) |
Ref | Expression |
---|---|
nfan1.1 |
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nfan1.2 |
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Ref | Expression |
---|---|
nfan1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfan1.2 |
. . . . 5
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2 | 1 | nfrd 1501 |
. . . 4
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3 | 2 | imdistani 442 |
. . 3
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4 | nfan1.1 |
. . . . 5
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5 | 4 | nfri 1500 |
. . . 4
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6 | 5 | 19.28h 1542 |
. . 3
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7 | 3, 6 | sylibr 133 |
. 2
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8 | 7 | nfi 1439 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-4 1488 |
This theorem depends on definitions: df-bi 116 df-nf 1438 |
This theorem is referenced by: nfan 1545 sbcralt 2989 sbcrext 2990 csbiebt 3044 riota5f 5762 |
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