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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdceqi | Unicode version |
Description: A class equal to a bounded one is bounded. Note the use of ax-ext 2022. See also bdceqir 9964. (Contributed by BJ, 3-Oct-2019.) |
Ref | Expression |
---|---|
bdceqi.min | BOUNDED |
bdceqi.maj |
Ref | Expression |
---|---|
bdceqi | BOUNDED |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdceqi.min | . 2 BOUNDED | |
2 | bdceqi.maj | . . 3 | |
3 | 2 | bdceq 9962 | . 2 BOUNDED BOUNDED |
4 | 1, 3 | mpbi 133 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: wceq 1243 BOUNDED wbdc 9960 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 ax-17 1419 ax-ial 1427 ax-ext 2022 ax-bd0 9933 |
This theorem depends on definitions: df-bi 110 df-cleq 2033 df-clel 2036 df-bdc 9961 |
This theorem is referenced by: bdceqir 9964 bds 9971 bdcuni 9996 |
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