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Theorem rexex 2673
Description: Restricted existence implies existence. (Contributed by NM, 11-Nov-1995.)
Assertion
Ref Expression
rexex

Proof of Theorem rexex
StepHypRef Expression
1 df-rex 2620 . 2
2 simpr 447 . . 3
32eximi 1576 . 2
41, 3sylbi 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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