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Theorem r19.41 2981
Description: Restricted quantifier version of Theorem 19.41 of [Margaris] p. 90. (Contributed by NM, 1-Nov-2010.)
Hypothesis
Ref Expression
r19.41.1
Assertion
Ref Expression
r19.41

Proof of Theorem r19.41
StepHypRef Expression
1 anass 649 . . . 4
21exbii 1635 . . 3
3 r19.41.1 . . . 4
4319.41 1911 . . 3
52, 4bitr3i 251 . 2
6 df-rex 2806 . 2
7 df-rex 2806 . . 3
87anbi1i 695 . 2
95, 6, 83bitr4i 277 1
Colors of variables: wff setvar class
Syntax hints:  <->wb 184  /\wa 369  E.wex 1587  F/wnf 1590  e.wcel 1758  E.wrex 2801
This theorem is referenced by:  r19.41v  2982
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1592  ax-4 1603  ax-5 1671  ax-6 1710  ax-7 1730  ax-10 1777  ax-12 1794
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1588  df-nf 1591  df-rex 2806
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