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Theorem cbvdisjv 4433
Description: Change bound variables in a disjoint collection. (Contributed by Mario Carneiro, 11-Dec-2016.)
Hypothesis
Ref Expression
cbvdisjv.1
Assertion
Ref Expression
cbvdisjv
Distinct variable groups:   , ,   ,   ,

Proof of Theorem cbvdisjv
StepHypRef Expression
1 nfcv 2619 . 2
2 nfcv 2619 . 2
3 cbvdisjv.1 . 2
41, 2, 3cbvdisj 4432 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  =wceq 1395  Disj_wdisj 4422
This theorem is referenced by:  uniioombllem4  21995  hashunif  27605  totprob  28366
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  df-disj 4423
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