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Theorem mo2r 1934
Description: A condition which implies "at most one." (Contributed by Jim Kingdon, 2-Jul-2018.)
Hypothesis
Ref Expression
mo2r.1  F/
Assertion
Ref Expression
mo2r
Distinct variable group:   ,
Allowed substitution hints:   (,)

Proof of Theorem mo2r
StepHypRef Expression
1 mo2r.1 . . . . 5  F/
21nfri 1393 . . . 4
32eu3h 1927 . . 3
43simplbi2com 1312 . 2
5 df-mo 1886 . 2
64, 5sylibr 137 1
Colors of variables: wff set class
Syntax hints:   wi 4  wal 1226   F/wnf 1329  wex 1362  weu 1882  wmo 1883
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 617  ax-5 1316  ax-7 1317  ax-gen 1318  ax-ie1 1363  ax-ie2 1364  ax-8 1376  ax-10 1377  ax-11 1378  ax-i12 1379  ax-bnd 1380  ax-4 1381  ax-17 1400  ax-i9 1404  ax-ial 1409  ax-i5r 1410
This theorem depends on definitions:  df-bi 110  df-nf 1330  df-sb 1628  df-eu 1885  df-mo 1886
This theorem is referenced by:  mo2icl  2697  rmo2ilem  2824
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