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Mirrors > Home > ILE Home > Th. List > zfun | Unicode version |
Description: Axiom of Union expressed with the fewest number of different variables. (Contributed by NM, 14-Aug-2003.) |
Ref | Expression |
---|---|
zfun |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-un 4363 |
. 2
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2 | elequ2 1692 |
. . . . . . 7
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3 | elequ1 1691 |
. . . . . . 7
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4 | 2, 3 | anbi12d 465 |
. . . . . 6
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5 | 4 | cbvexv 1891 |
. . . . 5
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6 | 5 | imbi1i 237 |
. . . 4
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7 | 6 | albii 1447 |
. . 3
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8 | 7 | exbii 1585 |
. 2
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9 | 1, 8 | mpbi 144 |
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-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-4 1488 ax-13 1492 ax-14 1493 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-un 4363 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: uniex2 4366 bj-uniex2 13285 |
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