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

Theorem rexbiia 2647
Description: Inference adding restricted existential quantifier to both sides of an equivalence. (Contributed by NM, 26-Oct-1999.)
Hypothesis
Ref Expression
ralbiia.1
Assertion
Ref Expression
rexbiia

Proof of Theorem rexbiia
StepHypRef Expression
1 ralbiia.1 . . 3
21pm5.32i 618 . 2
32rexbii2 2643 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wcel 1710  wrex 2615
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-rex 2620
This theorem is referenced by:  2rexbiia  2648  ceqsrexbv  2973  reu8  3032  phialllem1  4616  finnc  6243  nchoicelem11  6299  nchoicelem16  6304
  Copyright terms: Public domain W3C validator