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Theorem cbveu 2023
 Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 25-Nov-1994.) (Revised by Mario Carneiro, 7-Oct-2016.)
Hypotheses
Ref Expression
cbveu.1
cbveu.2
cbveu.3
Assertion
Ref Expression
cbveu

Proof of Theorem cbveu
StepHypRef Expression
1 cbveu.1 . . 3
21sb8eu 2012 . 2
3 cbveu.2 . . . 4
4 cbveu.3 . . . 4
53, 4sbie 1764 . . 3
65eubii 2008 . 2
72, 6bitri 183 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 104  wnf 1436  wsb 1735  weu 1999 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-bndl 1486  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515 This theorem depends on definitions:  df-bi 116  df-tru 1334  df-nf 1437  df-sb 1736  df-eu 2002 This theorem is referenced by:  cbvmo  2039  cbvreu  2652  cbvreucsf  3064  tz6.12f  5450  f1ompt  5571  climeu  11077
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