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Theorem syl6eleqr 2444
Description: A membership and equality inference. (Contributed by NM, 24-Apr-2005.)
Hypotheses
Ref Expression
syl6eleqr.1
syl6eleqr.2
Assertion
Ref Expression
syl6eleqr

Proof of Theorem syl6eleqr
StepHypRef Expression
1 syl6eleqr.1 . 2
2 syl6eleqr.2 . . 3
32eqcomi 2357 . 2
41, 3syl6eleq 2443 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   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-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-cleq 2346  df-clel 2349
This theorem is referenced by:  reiotacl2  4363  nnadjoinpw  4521  sfinltfin  4535  vinf  4555  nulnnn  4556  ecopqsi  5981  ncidg  6122
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