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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdab | Unicode version |
Description: Membership in a class defined by class abstraction using a bounded formula, is a bounded formula. (Contributed by BJ, 3-Oct-2019.) |
Ref | Expression |
---|---|
bdab.1 | BOUNDED |
Ref | Expression |
---|---|
bdab | BOUNDED |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdab.1 | . . 3 BOUNDED | |
2 | 1 | ax-bdsb 13819 | . 2 BOUNDED |
3 | df-clab 2157 | . 2 | |
4 | 2, 3 | bd0r 13822 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: wsb 1755 wcel 2141 cab 2156 BOUNDED wbd 13809 |
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-bd0 13810 ax-bdsb 13819 |
This theorem depends on definitions: df-bi 116 df-clab 2157 |
This theorem is referenced by: bdcab 13846 bdsbcALT 13856 |
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