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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdcuni | Unicode version |
Description: The union of a setvar is a bounded class. (Contributed by BJ, 15-Oct-2019.) |
Ref | Expression |
---|---|
bdcuni |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bdel 14433 |
. . . . 5
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2 | 1 | ax-bdex 14431 |
. . . 4
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3 | 2 | bdcab 14461 |
. . 3
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4 | df-rex 2461 |
. . . . 5
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5 | exancom 1608 |
. . . . 5
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6 | 4, 5 | bitri 184 |
. . . 4
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7 | 6 | abbii 2293 |
. . 3
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8 | 3, 7 | bdceqi 14455 |
. 2
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9 | df-uni 3810 |
. 2
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10 | 8, 9 | bdceqir 14456 |
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-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-11 1506 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 ax-bd0 14425 ax-bdex 14431 ax-bdel 14433 ax-bdsb 14434 |
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-rex 2461 df-uni 3810 df-bdc 14453 |
This theorem is referenced by: bj-uniex2 14528 |
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