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Theorem cbvabv 2473
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 26-May-1999.)
Hypothesis
Ref Expression
cbvabv.1
Assertion
Ref Expression
cbvabv
Distinct variable groups:   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem cbvabv
StepHypRef Expression
1 nfv 1619 . 2  F/
2 nfv 1619 . 2  F/
3 cbvabv.1 . 2
41, 2, 3cbvab 2472 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wceq 1642  cab 2339
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-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-clab 2340  df-cleq 2346
This theorem is referenced by:  ninjust  3211  uniiunlem  3354  dfif3  3673  pwjust  3724  snjust  3741  intab  3957  iotajust  4339
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