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Theorem 19.42vvv 1778
Description: Version of 19.42 1972 with three quantifiers and a dv condition requiring fewer axioms. (Contributed by NM, 21-Sep-2011.)
Assertion
Ref Expression
19.42vvv
Distinct variable groups:   ,   ,   ,

Proof of Theorem 19.42vvv
StepHypRef Expression
1 19.42vv 1777 . . 3
21exbii 1667 . 2
3 19.42v 1775 . 2
42, 3bitri 249 1
Colors of variables: wff setvar class
Syntax hints:  <->wb 184  /\wa 369  E.wex 1612
This theorem is referenced by:  ceqsex6v  3151
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613
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