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Theorem cbv2 2020
 Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 5-Aug-1993.) (Revised by Mario Carneiro, 3-Oct-2016.) Format hypotheses to common style. (Revised by Wolf Lammen, 13-May-2018.)
Hypotheses
Ref Expression
cbv2.1
cbv2.2
cbv2.3
cbv2.4
cbv2.5
Assertion
Ref Expression
cbv2

Proof of Theorem cbv2
StepHypRef Expression
1 cbv2.1 . . 3
2 cbv2.2 . . . 4
32nfri 1874 . . 3
41, 3alrimi 1877 . 2
5 cbv2.3 . . . 4
65nfrd 1875 . . 3
7 cbv2.4 . . . 4
87nfrd 1875 . . 3
9 cbv2.5 . . 3
106, 8, 9cbv2h 2019 . 2
114, 10syl 16 1
 Colors of variables: wff setvar class Syntax hints:  ->wi 4  <->wb 184  A.wal 1393  F/wnf 1616 This theorem is referenced by:  cbvald  2025  sb9  2169  wl-cbvalnaed  29985  wl-sb8t  30000 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-10 1837  ax-11 1842  ax-12 1854  ax-13 1999 This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617
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