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Theorem mosubop 4600
 Description: "At most one" remains true inside ordered pair quantification. (Contributed by NM, 28-May-1995.)
Hypothesis
Ref Expression
mosubop.1
Assertion
Ref Expression
mosubop
Distinct variable group:   ,,,
Allowed substitution hints:   (,,)

Proof of Theorem mosubop
StepHypRef Expression
1 mosubop.1 . . 3
21gen2 1426 . 2
3 mosubopt 4599 . 2
42, 3ax-mp 5 1
 Colors of variables: wff set class Syntax hints:   wa 103  wal 1329   wceq 1331  wex 1468  wmo 1998  cop 3525 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-14 1492  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515  ax-ext 2119  ax-sep 4041  ax-pow 4093  ax-pr 4126 This theorem depends on definitions:  df-bi 116  df-3an 964  df-tru 1334  df-nf 1437  df-sb 1736  df-eu 2000  df-mo 2001  df-clab 2124  df-cleq 2130  df-clel 2133  df-nfc 2268  df-v 2683  df-un 3070  df-in 3072  df-ss 3079  df-pw 3507  df-sn 3528  df-pr 3529  df-op 3531 This theorem is referenced by:  ovi3  5900  ov6g  5901  oprabex3  6020  axaddf  7669  axmulf  7670
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