NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  rexbidv2 Unicode version

Theorem rexbidv2 2637
Description: Formula-building rule for restricted existential quantifier (deduction rule). (Contributed by NM, 22-May-1999.)
Hypothesis
Ref Expression
rexbidv2.1
Assertion
Ref Expression
rexbidv2
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()   ()

Proof of Theorem rexbidv2
StepHypRef Expression
1 rexbidv2.1 . . 3
21exbidv 1626 . 2
3 df-rex 2620 . 2
4 df-rex 2620 . 2
52, 3, 43bitr4g 279 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358  wex 1541   wcel 1710  wrex 2615
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
This theorem depends on definitions:  df-bi 177  df-ex 1542  df-rex 2620
This theorem is referenced by:  rexss  3333  isoini  5497
  Copyright terms: Public domain W3C validator