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Theorem reu4 2729
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 2516 . 2
2 rmo4.1 . . . 4
32rmo4 2728 . . 3
43anbi2i 430 . 2
51, 4bitri 173 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   wb 98  wral 2300  wrex 2301  wreu 2302  wrmo 2303
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 629  ax-5 1333  ax-7 1334  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-8 1392  ax-10 1393  ax-11 1394  ax-i12 1395  ax-bndl 1396  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424  ax-i5r 1425  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-nf 1347  df-sb 1643  df-eu 1900  df-mo 1901  df-cleq 2030  df-clel 2033  df-ral 2305  df-rex 2306  df-reu 2307  df-rmo 2308
This theorem is referenced by:  reuind  2738  receuap  7432  cju  7694
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