Theorem cbvreuv 3086

Description: Change the bound variable of a restricted uniqueness quantifier using implicit substitution. (Contributed by NM, 5-Apr-2004.) (Revised by Mario Carneiro, 15-Oct-2016.)

Hypothesis

Ref	Expression
cbvralv.1

Assertion

Ref	Expression
cbvreuv

Distinct variable groups:   ,   ,   ,   ,

Proof of Theorem cbvreuv

Step	Hyp	Ref	Expression
1		nfv 1707	. 2
2		nfv 1707	. 2
3		cbvralv.1	. 2
4	1, 2, 3	cbvreu 3082	1

Syntax hints:  ->wi 4  <->wb 184  E!wreu 2809

This theorem is referenced by:  reu8  3295  aceq1  8519  aceq2  8521  fin23lem27  8729  divalglem10  14060  lspsneu  17769  fourierdlem50  31939  lshpsmreu  34834

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-cleq 2449  df-clel 2452  df-reu 2814