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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdeq | Unicode version |
Description: Equality property for the predicate BOUNDED. (Contributed by BJ, 3-Oct-2019.) |
Ref | Expression |
---|---|
bdeq.1 |
Ref | Expression |
---|---|
bdeq | BOUNDED BOUNDED |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdeq.1 | . . 3 | |
2 | 1 | ax-bd0 13588 | . 2 BOUNDED BOUNDED |
3 | 1 | bicomi 131 | . . 3 |
4 | 3 | ax-bd0 13588 | . 2 BOUNDED BOUNDED |
5 | 2, 4 | impbii 125 | 1 BOUNDED BOUNDED |
Colors of variables: wff set class |
Syntax hints: wb 104 BOUNDED wbd 13587 |
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 13588 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: bdceq 13617 |
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