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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdssex | Unicode version |
Description: Bounded version of ssex 3915. (Contributed by BJ, 13-Nov-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bdssex.bd | BOUNDED |
bdssex.1 |
Ref | Expression |
---|---|
bdssex |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ss 2986 | . 2 | |
2 | bdssex.bd | . . . 4 BOUNDED | |
3 | bdssex.1 | . . . 4 | |
4 | 2, 3 | bdinex2 10691 | . . 3 |
5 | eleq1 2141 | . . 3 | |
6 | 4, 5 | mpbii 146 | . 2 |
7 | 1, 6 | sylbi 119 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1284 wcel 1433 cvv 2601 cin 2972 wss 2973 BOUNDED wbdc 10631 |
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-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 ax-bdsep 10675 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-v 2603 df-in 2979 df-ss 2986 df-bdc 10632 |
This theorem is referenced by: bdssexi 10694 bdssexg 10695 bdfind 10741 |
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