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Theorem cbvrmov 3087
Description: Change the bound variable of a restricted uniqueness quantifier using implicit substitution. (Contributed by Alexander van der Vekens, 17-Jun-2017.)
Hypothesis
Ref Expression
cbvralv.1
Assertion
Ref Expression
cbvrmov
Distinct variable groups:   ,   ,   ,   ,

Proof of Theorem cbvrmov
StepHypRef Expression
1 nfv 1707 . 2
2 nfv 1707 . 2
3 cbvralv.1 . 2
41, 2, 3cbvrmo 3083 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  E*wrmo 2810
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  ax-ext 2435
This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-eu 2286  df-mo 2287  df-cleq 2449  df-clel 2452  df-nfc 2607  df-ral 2812  df-rex 2813  df-reu 2814  df-rmo 2815
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