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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdcdeq | Unicode version |
Description: Conditional equality of a bounded formula is a bounded formula. (Contributed by BJ, 16-Oct-2019.) |
Ref | Expression |
---|---|
bdcdeq.1 | BOUNDED |
Ref | Expression |
---|---|
bdcdeq | BOUNDED CondEq |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bdeq 10611 | . . 3 BOUNDED | |
2 | bdcdeq.1 | . . 3 BOUNDED | |
3 | 1, 2 | ax-bdim 10605 | . 2 BOUNDED |
4 | df-cdeq 2799 | . 2 CondEq | |
5 | 3, 4 | bd0r 10616 | 1 BOUNDED CondEq |
Colors of variables: wff set class |
Syntax hints: wi 4 CondEqwcdeq 2798 BOUNDED wbd 10603 |
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-bd0 10604 ax-bdim 10605 ax-bdeq 10611 |
This theorem depends on definitions: df-bi 115 df-cdeq 2799 |
This theorem is referenced by: (None) |
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