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Theorem ceqsalt 2881
Description: Closed theorem version of ceqsalg 2883. (Contributed by NM, 28-Feb-2013.) (Revised by Mario Carneiro, 10-Oct-2016.)
Assertion
Ref Expression
ceqsalt  F/
Distinct variable group:   ,
Allowed substitution hints:   ()   ()   ()

Proof of Theorem ceqsalt
StepHypRef Expression
1 elisset 2869 . . . 4
213ad2ant3 978 . . 3  F/
3 bi1 178 . . . . . . 7
43imim3i 55 . . . . . 6
54al2imi 1561 . . . . 5
653ad2ant2 977 . . . 4  F/
7 19.23t 1800 . . . . 5  F/
873ad2ant1 976 . . . 4  F/
96, 8sylibd 205 . . 3  F/
102, 9mpid 37 . 2  F/
11 bi2 189 . . . . . . 7
1211imim2i 13 . . . . . 6
1312com23 72 . . . . 5
1413alimi 1559 . . . 4
15143ad2ant2 977 . . 3  F/
16 19.21t 1795 . . . 4  F/
17163ad2ant1 976 . . 3  F/
1815, 17mpbid 201 . 2  F/
1910, 18impbid 183 1  F/
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   w3a 934  wal 1540  wex 1541   F/wnf 1544   wceq 1642   wcel 1710
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-3an 936  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-v 2861
This theorem is referenced by:  ceqsralt  2882
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