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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdel | Unicode version |
Description: The belonging of a setvar in a bounded class is a bounded formula. (Contributed by BJ, 3-Oct-2019.) |
Ref | Expression |
---|---|
bdel | BOUNDED BOUNDED |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-bdc 13210 | . 2 BOUNDED BOUNDED | |
2 | sp 1489 | . 2 BOUNDED BOUNDED | |
3 | 1, 2 | sylbi 120 | 1 BOUNDED BOUNDED |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1330 wcel 1481 BOUNDED wbd 13181 BOUNDED wbdc 13209 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-4 1488 |
This theorem depends on definitions: df-bi 116 df-bdc 13210 |
This theorem is referenced by: bdeli 13215 |
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