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Theorem eusv2i 4153
Description: Two ways to express single-valuedness of a class expression . (Contributed by NM, 14-Oct-2010.) (Revised by Mario Carneiro, 18-Nov-2016.)
Assertion
Ref Expression
eusv2i
Distinct variable groups:   ,   ,
Allowed substitution hint:   ()

Proof of Theorem eusv2i
StepHypRef Expression
1 nfeu1 1908 . . 3  F/
2 nfcvd 2176 . . . . . 6  F/_
3 eusvnf 4151 . . . . . 6  F/_
42, 3nfeqd 2189 . . . . 5  F/
5 nf2 1555 . . . . 5  F/
64, 5sylib 127 . . . 4
7 19.2 1526 . . . 4
86, 7impbid1 130 . . 3
91, 8eubid 1904 . 2
109ibir 166 1
Colors of variables: wff set class
Syntax hints:   wi 4  wal 1240   wceq 1242   F/wnf 1346  wex 1378  weu 1897
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-bnd 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-tru 1245  df-nf 1347  df-sb 1643  df-eu 1900  df-clab 2024  df-cleq 2030  df-clel 2033  df-nfc 2164  df-v 2553  df-sbc 2759  df-csb 2847
This theorem is referenced by:  eusv2nf  4154
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