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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdcint | Unicode version |
Description: The intersection of a setvar is a bounded class. (Contributed by BJ, 16-Oct-2019.) |
Ref | Expression |
---|---|
bdcint | BOUNDED |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bdel 13816 | . . . . 5 BOUNDED | |
2 | 1 | ax-bdal 13813 | . . . 4 BOUNDED |
3 | df-ral 2453 | . . . 4 | |
4 | 2, 3 | bd0 13819 | . . 3 BOUNDED |
5 | 4 | bdcab 13844 | . 2 BOUNDED |
6 | df-int 3830 | . 2 | |
7 | 5, 6 | bdceqir 13839 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1346 cab 2156 wral 2448 cint 3829 BOUNDED wbdc 13835 |
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-5 1440 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-4 1503 ax-17 1519 ax-ial 1527 ax-ext 2152 ax-bd0 13808 ax-bdal 13813 ax-bdel 13816 ax-bdsb 13817 |
This theorem depends on definitions: df-bi 116 df-clab 2157 df-cleq 2163 df-clel 2166 df-ral 2453 df-int 3830 df-bdc 13836 |
This theorem is referenced by: (None) |
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