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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdcab | Unicode version |
Description: A class defined by class abstraction using a bounded formula is bounded. (Contributed by BJ, 6-Oct-2019.) |
Ref | Expression |
---|---|
bdcab.1 | BOUNDED |
Ref | Expression |
---|---|
bdcab | BOUNDED |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdcab.1 | . . 3 BOUNDED | |
2 | 1 | bdab 10629 | . 2 BOUNDED |
3 | 2 | bdelir 10638 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: cab 2067 BOUNDED wbd 10603 BOUNDED wbdc 10631 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-gen 1378 ax-bd0 10604 ax-bdsb 10613 |
This theorem depends on definitions: df-bi 115 df-clab 2068 df-bdc 10632 |
This theorem is referenced by: bds 10642 bdcrab 10643 bdccsb 10651 bdcdif 10652 bdcun 10653 bdcin 10654 bdcpw 10660 bdcsn 10661 bdcuni 10667 bdcint 10668 bdciun 10669 bdciin 10670 bdcriota 10674 bj-bdfindis 10742 |
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