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Theorem ralv 2872
Description: A universal quantifier restricted to the universe is unrestricted. (Contributed by NM, 26-Mar-2004.)
Assertion
Ref Expression
ralv

Proof of Theorem ralv
StepHypRef Expression
1 df-ral 2619 . 2
2 vex 2862 . . . 4
32a1bi 327 . . 3
43albii 1566 . 2
51, 4bitr4i 243 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176  wal 1540   wcel 1710  wral 2614  cvv 2859
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  ax-9 1654  ax-8 1675  ax-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-ral 2619  df-v 2861
This theorem is referenced by:  ralcom4  2877  viin  4025  ssofss  4076
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