New Foundations Explorer		< Previous   Next > Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  2rexbiia		Unicode version

---

Theorem 2rexbiia 2648

Description: Inference adding two restricted existential quantifiers to both sides of an equivalence. (Contributed by NM, 1-Aug-2004.)

Hypothesis

Ref	Expression
2rexbiia.1

Assertion

Ref	Expression
2rexbiia

Distinct variable groups:   ,   , Allowed substitution hints:   (,)   (,)   ()   (,)

---

Proof of Theorem 2rexbiia

Step	Hyp	Ref	Expression
1		2rexbiia.1	. . 3
2	1	rexbidva 2631	. 2
3	2	rexbiia 2647	1

Colors of variables: wff setvar class

Syntax hints:   wi 4   wb 176   wa 358   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  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-rex 2620

This theorem is referenced by: (None)

Copyright terms: Public domain

W3C validator