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Theorem r19.41 2705
 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 630 . . . 4
21exbii 1572 . . 3
3 r19.41.1 . . . 4
4319.41 1827 . . 3
52, 4bitr3i 242 . 2
6 df-rex 2562 . 2
7 df-rex 2562 . . 3
87anbi1i 676 . 2
95, 6, 83bitr4i 268 1
 Colors of variables: wff set class Syntax hints:   wb 176   wa 358  wex 1531  wnf 1534   wcel 1696  wrex 2557 This theorem is referenced by:  r19.41v  2706 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1536  ax-5 1547  ax-17 1606  ax-9 1644  ax-8 1661  ax-6 1715  ax-11 1727 This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1532  df-nf 1535  df-rex 2562
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