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

Theorem cbvralv 2835
Description: Change the bound variable of a restricted universal quantifier using implicit substitution. (Contributed by NM, 28-Jan-1997.)
Hypothesis
Ref Expression
cbvralv.1
Assertion
Ref Expression
cbvralv
Distinct variable groups:   ,   ,   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem cbvralv
StepHypRef Expression
1 nfv 1619 . 2  F/
2 nfv 1619 . 2  F/
3 cbvralv.1 . 2
41, 2, 3cbvral 2831 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176  wral 2614
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-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-cleq 2346  df-clel 2349  df-nfc 2478  df-ral 2619
This theorem is referenced by:  cbvral2v  2843  cbvral3v  2845  reu7  3031  nndisjeq  4429  evenodddisj  4516  nnadjoin  4520  tfinnn  4534  nnc3n3p1  6278  nchoicelem12  6300  nchoicelem17  6305
  Copyright terms: Public domain W3C validator