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Theorem reubida 2793
Description: Formula-building rule for restricted existential quantifier (deduction rule). (Contributed by Mario Carneiro, 19-Nov-2016.)
Hypotheses
Ref Expression
reubida.1  F/
reubida.2
Assertion
Ref Expression
reubida

Proof of Theorem reubida
StepHypRef Expression
1 reubida.1 . . 3  F/
2 reubida.2 . . . 4
32pm5.32da 622 . . 3
41, 3eubid 2211 . 2
5 df-reu 2621 . 2
6 df-reu 2621 . 2
74, 5, 63bitr4g 279 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358   F/wnf 1544   wcel 1710  weu 2204  wreu 2616
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-nf 1545  df-eu 2208  df-reu 2621
This theorem is referenced by:  reubidva  2794
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