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Theorem r19.41 2434
Description: Restricted quantifier version of Theorem 19.41 of [Margaris] p. 90. (Contributed by NM, 1-Nov-2010.)
Hypothesis
Ref Expression
r19.41.1  F/
Assertion
Ref Expression
r19.41

Proof of Theorem r19.41
StepHypRef Expression
1 anass 381 . . . 4
21exbii 1469 . . 3
3 r19.41.1 . . . 4  F/
4319.41 1549 . . 3
52, 4bitr3i 175 . 2
6 df-rex 2281 . 2
7 df-rex 2281 . . 3
87anbi1i 431 . 2
95, 6, 83bitr4i 201 1
Colors of variables: wff set class
Syntax hints:   wa 97   wb 98   F/wnf 1322  wex 1354   wcel 1366  wrex 2276
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1309  ax-gen 1311  ax-ie1 1355  ax-ie2 1356  ax-4 1373  ax-ial 1400
This theorem depends on definitions:  df-bi 110  df-nf 1323  df-rex 2281
This theorem is referenced by:  r19.41v  2435
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