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Axiom ax-xp 3181
Description: State the axiom of cross product. This axiom guarantees the existence of the (Kuratowski) cross product of with . Axiom P5 of {{Hailperin}}.
Assertion
Ref Expression
ax-xp
Distinct variable group:   ,,,,

Detailed syntax breakdown of Axiom ax-xp
StepHypRef Expression
1 vz . . . . 5
2 vy . . . . 5
31, 2wel 1401 . . . 4
41cv 1397 . . . . . . . 8
5 vw . . . . . . . . . 10
65cv 1397 . . . . . . . . 9
7 vt . . . . . . . . . 10
87cv 1397 . . . . . . . . 9
96, 8copk 2862 . . . . . . . 8
104, 9wceq 1398 . . . . . . 7
11 vx . . . . . . . 8
127, 11wel 1401 . . . . . . 7
1310, 12wa 355 . . . . . 6
1413, 7wex 1327 . . . . 5
1514, 5wex 1327 . . . 4
163, 15wb 173 . . 3
1716, 1wal 1322 . 2
1817, 2wex 1327 1
Colors of variables: wff set class
This axiom is referenced by:  axxpprim  3192  xpkvexg  3389
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