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Mirrors > Home > ILE Home > Th. List > iunab | Unicode version |
Description: The indexed union of a class abstraction. (Contributed by NM, 27-Dec-2004.) |
Ref | Expression |
---|---|
iunab |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2235 |
. . . 4
![]() ![]() ![]() ![]() | |
2 | nfab1 2237 |
. . . 4
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3 | 1, 2 | nfiunxy 3778 |
. . 3
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4 | nfab1 2237 |
. . 3
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5 | 3, 4 | cleqf 2259 |
. 2
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6 | abid 2083 |
. . . 4
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7 | 6 | rexbii 2396 |
. . 3
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8 | eliun 3756 |
. . 3
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9 | abid 2083 |
. . 3
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10 | 7, 8, 9 | 3bitr4i 211 |
. 2
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11 | 5, 10 | mpgbir 1394 |
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-io 668 ax-5 1388 ax-7 1389 ax-gen 1390 ax-ie1 1434 ax-ie2 1435 ax-8 1447 ax-10 1448 ax-11 1449 ax-i12 1450 ax-bndl 1451 ax-4 1452 ax-17 1471 ax-i9 1475 ax-ial 1479 ax-i5r 1480 ax-ext 2077 |
This theorem depends on definitions: df-bi 116 df-tru 1299 df-nf 1402 df-sb 1700 df-clab 2082 df-cleq 2088 df-clel 2091 df-nfc 2224 df-ral 2375 df-rex 2376 df-v 2635 df-iun 3754 |
This theorem is referenced by: iunrab 3799 iunid 3807 dfimafn2 5389 |
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