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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-unex | Unicode version |
Description: unex 4440 from bounded separation. (Contributed by BJ, 13-Nov-2019.) (Proof modification is discouraged.) |
Ref | Expression |
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bj-unex.1 |
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bj-unex.2 |
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Ref | Expression |
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bj-unex |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-unex.1 |
. . 3
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2 | bj-unex.2 |
. . 3
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3 | 1, 2 | unipr 3823 |
. 2
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4 | bj-prexg 14523 |
. . . 4
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5 | 1, 2, 4 | mp2an 426 |
. . 3
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6 | 5 | bj-uniex 14529 |
. 2
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7 | 3, 6 | eqeltrri 2251 |
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-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-13 2150 ax-14 2151 ax-ext 2159 ax-pr 4208 ax-un 4432 ax-bd0 14425 ax-bdor 14428 ax-bdex 14431 ax-bdeq 14432 ax-bdel 14433 ax-bdsb 14434 ax-bdsep 14496 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-rex 2461 df-v 2739 df-un 3133 df-sn 3598 df-pr 3599 df-uni 3810 df-bdc 14453 |
This theorem is referenced by: bdunexb 14532 bj-unexg 14533 |
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