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Axiom ax-sset 4082
Description: State the axiom of the subset relationship. This axiom guarantees the existence of the Kuratowski relationship representing subset. Slight generalization of axiom P9 of [Hailperin] p. 10.
Assertion
Ref Expression
ax-sset
Distinct variable group:   ,,,

Detailed syntax breakdown of Axiom ax-sset
StepHypRef Expression
1 vy . . . . . . . 8
21cv 1641 . . . . . . 7
3 vz . . . . . . . 8
43cv 1641 . . . . . . 7
52, 4copk 4057 . . . . . 6
6 vx . . . . . . 7
76cv 1641 . . . . . 6
85, 7wcel 1710 . . . . 5
9 vw . . . . . . . 8
109, 1wel 1711 . . . . . . 7
119, 3wel 1711 . . . . . . 7
1210, 11wi 4 . . . . . 6
1312, 9wal 1540 . . . . 5
148, 13wb 176 . . . 4
1514, 3wal 1540 . . 3
1615, 1wal 1540 . 2
1716, 6wex 1541 1
Colors of variables: wff set class
This axiom is referenced by:  axssetprim  4092  ssetkex  4294
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