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Definition df-xpk 4185
 Description: Define the Kuratowski cross product. This definition through df-idk 4195 set up the Kuratowski relationships. These are used mainly to prove the properties of df-op 4566, and are not used thereafter. (Contributed by SF, 12-Jan-2015.)
Assertion
Ref Expression
df-xpk k
Distinct variable groups:   ,,,   ,,,

Detailed syntax breakdown of Definition df-xpk
StepHypRef Expression
1 cA . . 3
2 cB . . 3
31, 2cxpk 4174 . 2 k
4 vx . . . . . . . 8
54cv 1641 . . . . . . 7
6 vy . . . . . . . . 9
76cv 1641 . . . . . . . 8
8 vz . . . . . . . . 9
98cv 1641 . . . . . . . 8
107, 9copk 4057 . . . . . . 7
115, 10wceq 1642 . . . . . 6
127, 1wcel 1710 . . . . . . 7
139, 2wcel 1710 . . . . . . 7
1412, 13wa 358 . . . . . 6
1511, 14wa 358 . . . . 5
1615, 8wex 1541 . . . 4
1716, 6wex 1541 . . 3
1817, 4cab 2339 . 2
193, 18wceq 1642 1 k
 Colors of variables: wff setvar class This definition is referenced by:  elxpk  4196  xpkssvvk  4210  opkelxpkg  4247
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