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Mirrors > Home > ILE Home > Th. List > vnex | Unicode version |
Description: The universal class does not exist as a set. (Contributed by NM, 4-Jul-2005.) |
Ref | Expression |
---|---|
vnex |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nalset 4148 |
. 2
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2 | vex 2755 |
. . . . . 6
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3 | 2 | tbt 247 |
. . . . 5
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4 | 3 | albii 1481 |
. . . 4
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5 | dfcleq 2183 |
. . . 4
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6 | 4, 5 | bitr4i 187 |
. . 3
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7 | 6 | exbii 1616 |
. 2
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8 | 1, 7 | mtbi 671 |
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-in1 615 ax-in2 616 ax-5 1458 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-13 2162 ax-14 2163 ax-ext 2171 ax-sep 4136 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-fal 1370 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-v 2754 |
This theorem is referenced by: vprc 4150 |
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