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Theorem 3exbidv 1746
Description: Formula-building rule for 3 existential quantifiers (deduction rule). (Contributed by NM, 1-May-1995.)
Hypothesis
Ref Expression
3exbidv.1
Assertion
Ref Expression
3exbidv
Distinct variable groups:   ,   ,   ,
Allowed substitution hints:   (,,)   (,,)

Proof of Theorem 3exbidv
StepHypRef Expression
1 3exbidv.1 . . 3
21exbidv 1703 . 2
322exbidv 1745 1
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98  wex 1378
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 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-4 1397  ax-17 1416  ax-ial 1424
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  ceqsex6v  2592  euotd  3982  oprabid  5480  eloprabga  5533  eloprabi  5764
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