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Mirrors > Home > NFE 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 2620 | . 2 | |
2 | simpr 447 | . . 3 | |
3 | 2 | eximi 1576 | . 2 |
4 | 1, 3 | sylbi 187 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 358 wex 1541 wcel 1710 wrex 2615 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-rex 2620 |
This theorem is referenced by: reu3 3026 rmo2i 3132 dffo5 5424 |
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