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Theorem imagekrelk 4273
 Description: The Kuratowski image functor is a relationship. (Contributed by SF, 14-Jan-2015.)
Assertion
Ref Expression
imagekrelk ImagekA (V ×k V)

Proof of Theorem imagekrelk
StepHypRef Expression
1 df-imagek 4194 . 2 ImagekA = ((V ×k V) (( Ins2k SkIns3k ( Sk k k SIk A)) “k 111c))
2 difss 3393 . 2 ((V ×k V) (( Ins2k SkIns3k ( Sk k k SIk A)) “k 111c)) (V ×k V)
31, 2eqsstri 3301 1 ImagekA (V ×k V)
 Colors of variables: wff setvar class Syntax hints:  Vcvv 2859   ∖ cdif 3206   ⊕ csymdif 3209   ⊆ wss 3257  1cc1c 4134  ℘1cpw1 4135   ×k cxpk 4174  ◡kccnvk 4175   Ins2k cins2k 4176   Ins3k cins3k 4177   “k cimak 4179   ∘k ccomk 4180   SIk csik 4181  Imagekcimagek 4182   Sk cssetk 4183 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-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-v 2861  df-nin 3211  df-compl 3212  df-in 3213  df-dif 3215  df-ss 3259  df-imagek 4194 This theorem is referenced by: (None)
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