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Mirrors > Home > ILE Home > Th. List > eqv | Unicode version |
Description: The universe contains every set. (Contributed by NM, 11-Sep-2006.) |
Ref | Expression |
---|---|
eqv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfcleq 2089 |
. 2
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2 | vex 2636 |
. . . 4
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3 | 2 | tbt 246 |
. . 3
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4 | 3 | albii 1411 |
. 2
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5 | 1, 4 | bitr4i 186 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1388 ax-gen 1390 ax-ie1 1434 ax-ie2 1435 ax-8 1447 ax-4 1452 ax-17 1471 ax-i9 1475 ax-ial 1479 ax-ext 2077 |
This theorem depends on definitions: df-bi 116 df-sb 1700 df-clab 2082 df-cleq 2088 df-clel 2091 df-v 2635 |
This theorem is referenced by: setindel 4382 dmi 4682 |
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