Theorem reuv 3125

Description: A uniqueness quantifier restricted to the universe is unrestricted. (Contributed by NM, 1-Nov-2010.)

Assertion

Ref	Expression
reuv

Proof of Theorem reuv

Step	Hyp	Ref	Expression
1		df-reu 2814	. 2
2		vex 3112	. . . 4
3	2	biantrur 506	. . 3
4	3	eubii 2306	. 2
5	1, 4	bitr4i 252	1

Syntax hints:  <->wb 184  /\wa 369  e.wcel 1818  E!weu 2282  E!wreu 2809  cvv 3109

This theorem is referenced by:  euen1  7605  hlimeui  26158

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-12 1854  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-eu 2286  df-clab 2443  df-cleq 2449  df-clel 2452  df-reu 2814  df-v 3111