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Mirrors > Home > NFE Home > Th. List > aaan | Unicode version |
Description: Rearrange universal quantifiers. (Contributed by NM, 12-Aug-1993.) |
Ref | Expression |
---|---|
aaan.1 |
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aaan.2 |
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Ref | Expression |
---|---|
aaan |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | aaan.1 |
. . . 4
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2 | 1 | 19.28 1870 |
. . 3
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3 | 2 | albii 1566 |
. 2
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4 | aaan.2 |
. . . 4
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5 | 4 | nfal 1842 |
. . 3
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6 | 5 | 19.27 1869 |
. 2
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7 | 3, 6 | bitri 240 |
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 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-7 1734 ax-11 1746 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-nf 1545 |
This theorem is referenced by: mo 2226 2mo 2282 2eu4 2287 |
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