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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdcsuc | Unicode version |
Description: The successor of a setvar is a bounded class. (Contributed by BJ, 16-Oct-2019.) |
Ref | Expression |
---|---|
bdcsuc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdcv 14460 |
. . 3
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2 | bdcsn 14482 |
. . 3
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3 | 1, 2 | bdcun 14474 |
. 2
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4 | df-suc 4370 |
. 2
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5 | 3, 4 | 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-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 ax-17 1526 ax-ial 1534 ax-ext 2159 ax-bd0 14425 ax-bdor 14428 ax-bdeq 14432 ax-bdel 14433 ax-bdsb 14434 |
This theorem depends on definitions: df-bi 117 df-clab 2164 df-cleq 2170 df-clel 2173 df-un 3133 df-sn 3598 df-suc 4370 df-bdc 14453 |
This theorem is referenced by: bdeqsuc 14493 |
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