New Foundations Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  NFE Home  >  Th. List  >  elimakv Unicode version

Theorem elimakv 4260
 Description: Membership in a Kuratowski image under . (Contributed by SF, 13-Jan-2015.)
Hypothesis
Ref Expression
elimak.1
Assertion
Ref Expression
elimakv k
Distinct variable groups:   ,   ,

Proof of Theorem elimakv
StepHypRef Expression
1 elimak.1 . 2
2 elimakvg 4258 . 2 k
31, 2ax-mp 8 1 k
 Colors of variables: wff setvar class Syntax hints:   wb 176  wex 1541   wcel 1710  cvv 2859  copk 4057  kcimak 4179 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-nan 1288  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-rex 2620  df-v 2861  df-nin 3211  df-compl 3212  df-un 3214  df-sn 3741  df-pr 3742  df-opk 4058  df-imak 4189 This theorem is referenced by:  opkelcokg  4261  cokrelk  4284  dfpw12  4301  evenodddisjlem1  4515  dfswap2  4741
 Copyright terms: Public domain W3C validator