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Theorem reu4 2873
 Description: Restricted uniqueness using implicit substitution. (Contributed by NM, 23-Nov-1994.)
Hypothesis
Ref Expression
rmo4.1
Assertion
Ref Expression
reu4
Distinct variable groups:   ,,   ,   ,
Allowed substitution hints:   ()   ()

Proof of Theorem reu4
StepHypRef Expression
1 reu5 2641 . 2
2 rmo4.1 . . . 4
32rmo4 2872 . . 3
43anbi2i 452 . 2
51, 4bitri 183 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 103   wb 104  wral 2414  wrex 2415  wreu 2416  wrmo 2417 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  ax-ext 2119 This theorem depends on definitions:  df-bi 116  df-nf 1437  df-sb 1736  df-eu 2000  df-mo 2001  df-cleq 2130  df-clel 2133  df-ral 2419  df-rex 2420  df-reu 2421  df-rmo 2422 This theorem is referenced by:  reuind  2884  receuap  8423  lbreu  8696  cju  8712  ndvdssub  11616  qredeu  11767
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