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Mirrors > Home > ILE Home > Th. List > rexex | Unicode version |
Description: Restricted existence implies existence. (Contributed by NM, 11-Nov-1995.) |
Ref | Expression |
---|---|
rexex |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rex 2441 | . 2 | |
2 | simpr 109 | . . 3 | |
3 | 2 | eximi 1580 | . 2 |
4 | 1, 3 | sylbi 120 | 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-ial 1514 |
This theorem depends on definitions: df-bi 116 df-rex 2441 |
This theorem is referenced by: reu3 2902 rmo2i 3027 dffo5 5616 halfnq 7331 nsmallnq 7333 0npr 7403 genpml 7437 genpmu 7438 ltexprlemm 7520 ltexprlemloc 7527 dedekindeulemlub 12998 dedekindicclemlub 13007 |
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