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Theorem elqsi 7384
Description: Membership in a quotient set. (Contributed by NM, 23-Jul-1995.)
Assertion
Ref Expression
elqsi
Distinct variable groups:   ,   ,   ,

Proof of Theorem elqsi
StepHypRef Expression
1 elqsg 7382 . 2
21ibi 241 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  =wceq 1395  e.wcel 1818  E.wrex 2808  [cec 7328  /.cqs 7329
This theorem is referenced by:  ectocld  7397  ecoptocl  7420  eroveu  7425  pstmxmet  27876
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435
This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-rex 2813  df-v 3111  df-qs 7336
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