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Mirrors > Home > ILE Home > Th. List > reximdva0m | Unicode version |
Description: Restricted existence deduced from inhabited class. (Contributed by Jim Kingdon, 31-Jul-2018.) |
Ref | Expression |
---|---|
reximdva0m.1 |
Ref | Expression |
---|---|
reximdva0m |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reximdva0m.1 | . . . . . 6 | |
2 | 1 | ex 114 | . . . . 5 |
3 | 2 | ancld 323 | . . . 4 |
4 | 3 | eximdv 1860 | . . 3 |
5 | 4 | imp 123 | . 2 |
6 | df-rex 2441 | . 2 | |
7 | 5, 6 | sylibr 133 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wex 1472 wcel 2128 wrex 2436 |
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 1427 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-4 1490 ax-17 1506 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-rex 2441 |
This theorem is referenced by: (None) |
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