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Theorem nrex 2716
Description: Inference adding restricted existential quantifier to negated wff. (Contributed by NM, 16-Oct-2003.)
Hypothesis
Ref Expression
nrex.1
Assertion
Ref Expression
nrex

Proof of Theorem nrex
StepHypRef Expression
1 nrex.1 . . 3
21rgen 2679 . 2
3 ralnex 2624 . 2
42, 3mpbi 199 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   wcel 1710  wral 2614  wrex 2615
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-ral 2619  df-rex 2620
This theorem is referenced by:  rex0  3563  iun0  4022  0nelsuc  4400  addcnul1  4452  nulnnn  4556  0cnelphi  4597  proj1op  4600  proj2op  4601  nenpw1pwlem2  6085  nchoice  6306  fnfreclem2  6316
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