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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-uniex | Unicode version |
Description: uniex 4359 from bounded separation. (Contributed by BJ, 13-Nov-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-uniex.1 |
Ref | Expression |
---|---|
bj-uniex |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-uniex.1 | . 2 | |
2 | unieq 3745 | . . 3 | |
3 | 2 | eleq1d 2208 | . 2 |
4 | bj-uniex2 13114 | . . 3 | |
5 | 4 | issetri 2695 | . 2 |
6 | 1, 3, 5 | vtocl 2740 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 wcel 1480 cvv 2686 cuni 3736 |
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-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-13 1491 ax-14 1492 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 ax-un 4355 ax-bd0 13011 ax-bdex 13017 ax-bdel 13019 ax-bdsb 13020 ax-bdsep 13082 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-rex 2422 df-v 2688 df-uni 3737 df-bdc 13039 |
This theorem is referenced by: bj-uniexg 13116 bj-unex 13117 |
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