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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 | BOUNDED |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdcv 13035 | . . 3 BOUNDED | |
2 | bdcsn 13057 | . . 3 BOUNDED | |
3 | 1, 2 | bdcun 13049 | . 2 BOUNDED |
4 | df-suc 4288 | . 2 | |
5 | 3, 4 | bdceqir 13031 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: cun 3064 csn 3522 csuc 4282 BOUNDED wbdc 13027 |
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-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-ial 1514 ax-ext 2119 ax-bd0 13000 ax-bdor 13003 ax-bdeq 13007 ax-bdel 13008 ax-bdsb 13009 |
This theorem depends on definitions: df-bi 116 df-clab 2124 df-cleq 2130 df-clel 2133 df-un 3070 df-sn 3528 df-suc 4288 df-bdc 13028 |
This theorem is referenced by: bdeqsuc 13068 |
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