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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdcnul | Unicode version |
Description: The empty class is bounded. See also bdcnulALT 13235. (Contributed by BJ, 3-Oct-2019.) |
Ref | Expression |
---|---|
bdcnul |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | noel 3372 |
. . 3
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2 | 1 | bdnth 13203 |
. 2
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3 | 2 | bdelir 13216 |
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-in1 604 ax-in2 605 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 ax-bd0 13182 ax-bdim 13183 ax-bdn 13186 ax-bdeq 13189 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-fal 1338 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-v 2691 df-dif 3078 df-nul 3369 df-bdc 13210 |
This theorem is referenced by: bdeq0 13236 |
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