Theorem ralv 3123

Description: A universal quantifier restricted to the universe is unrestricted. (Contributed by NM, 26-Mar-2004.)

Assertion

Ref	Expression
ralv

Proof of Theorem ralv

Step	Hyp	Ref	Expression
1		df-ral 2812	. 2
2		vex 3112	. . . 4
3	2	a1bi 337	. . 3
4	3	albii 1640	. 2
5	1, 4	bitr4i 252	1

Syntax hints:  ->wi 4  <->wb 184  A.wal 1393  e.wcel 1818  A.wral 2807  cvv 3109

This theorem is referenced by:  ralcom4  3128  viin  4389  issref  5385  ralcom4f  27375  hfext  29840

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-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-ral 2812  df-v 3111