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Theorem ceqsex3OLD 26710
 Description: Version of ceqsex 2991 with an antecedent instead of a hypothesis. (Use ceqsexg 3068 instead of this one. --NM 13-Aug-11) (Contributed by Rodolfo Medina, 19-Oct-2010.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ceqsex3.1OLD
ceqsex3.2OLD
Assertion
Ref Expression
ceqsex3OLD
Distinct variable group:   ,
Allowed substitution hints:   ()   ()

Proof of Theorem ceqsex3OLD
StepHypRef Expression
1 ceqsex3.1OLD . . 3
2 ceqsex3.2OLD . . . 4
32biimpa 472 . . 3
41, 3exlimih 1823 . 2
5 isset 2961 . . . 4
62biimprcd 218 . . . . . 6
71, 6alrimih 1575 . . . . 5
8 exintr 1625 . . . . 5
97, 8syl 16 . . . 4
105, 9syl5bi 210 . . 3
1110com12 30 . 2
124, 11impbid2 197 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 178   wa 360  wal 1550  wex 1551   wceq 1653   wcel 1726  cvv 2957 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-11 1762  ax-ext 2418 This theorem depends on definitions:  df-bi 179  df-an 362  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2424  df-cleq 2430  df-clel 2433  df-v 2959
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