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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 2422 | . 2 | |
2 | simpr 109 | . . 3 | |
3 | 2 | eximi 1579 | . 2 |
4 | 1, 3 | sylbi 120 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wex 1468 wcel 1480 wrex 2417 |
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 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-rex 2422 |
This theorem is referenced by: reu3 2874 rmo2i 2999 dffo5 5569 halfnq 7219 nsmallnq 7221 0npr 7291 genpml 7325 genpmu 7326 ltexprlemm 7408 ltexprlemloc 7415 dedekindeulemlub 12767 dedekindicclemlub 12776 |
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