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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 2354 | . 2 | |
2 | simpr 108 | . . 3 | |
3 | 2 | eximi 1531 | . 2 |
4 | 1, 3 | sylbi 119 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wex 1421 wcel 1433 wrex 2349 |
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-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 ax-ial 1467 |
This theorem depends on definitions: df-bi 115 df-rex 2354 |
This theorem is referenced by: reu3 2782 rmo2i 2904 dffo5 5337 halfnq 6601 nsmallnq 6603 0npr 6673 genpml 6707 genpmu 6708 ltexprlemm 6790 ltexprlemloc 6797 |
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