Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > Mathboxes > bdssexg | Unicode version |
Description: Bounded version of ssexg 3896. (Contributed by BJ, 13-Nov-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bdssexg.bd | BOUNDED |
Ref | Expression |
---|---|
bdssexg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sseq2 2967 | . . . 4 | |
2 | 1 | imbi1d 220 | . . 3 |
3 | bdssexg.bd | . . . 4 BOUNDED | |
4 | vex 2560 | . . . 4 | |
5 | 3, 4 | bdssex 10022 | . . 3 |
6 | 2, 5 | vtoclg 2613 | . 2 |
7 | 6 | impcom 116 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wceq 1243 wcel 1393 cvv 2557 wss 2917 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-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 ax-bdsep 10004 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-v 2559 df-in 2924 df-ss 2931 df-bdc 9961 |
This theorem is referenced by: bdssexd 10025 bdrabexg 10026 bdunexb 10040 |
Copyright terms: Public domain | W3C validator |