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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 12963 | . 2 BOUNDED |
3 | 2 | bdelir 12972 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: cab 2103 BOUNDED wbd 12937 BOUNDED wbdc 12965 |
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-gen 1410 ax-bd0 12938 ax-bdsb 12947 |
This theorem depends on definitions: df-bi 116 df-clab 2104 df-bdc 12966 |
This theorem is referenced by: bds 12976 bdcrab 12977 bdccsb 12985 bdcdif 12986 bdcun 12987 bdcin 12988 bdcpw 12994 bdcsn 12995 bdcuni 13001 bdcint 13002 bdciun 13003 bdciin 13004 bdcriota 13008 bj-bdfindis 13072 |
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