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Axiom ax-si 4083
Description: State the axiom of the singleton image. This axiom guarantees that guarantees the existence of a set that raises the "type" of another set when considered as a relationship. Axiom P2 of [Hailperin] p. 10.
Assertion
Ref Expression
ax-si
Distinct variable group:   ,,,

Detailed syntax breakdown of Axiom ax-si
StepHypRef Expression
1 vz . . . . . . . . 9
21cv 1641 . . . . . . . 8
32csn 3737 . . . . . . 7
4 vw . . . . . . . . 9
54cv 1641 . . . . . . . 8
65csn 3737 . . . . . . 7
73, 6copk 4057 . . . . . 6
8 vy . . . . . . 7
98cv 1641 . . . . . 6
107, 9wcel 1710 . . . . 5
112, 5copk 4057 . . . . . 6
12 vx . . . . . . 7
1312cv 1641 . . . . . 6
1411, 13wcel 1710 . . . . 5
1510, 14wb 176 . . . 4
1615, 4wal 1540 . . 3
1716, 1wal 1540 . 2
1817, 8wex 1541 1
Colors of variables: wff set class
This axiom is referenced by:  axsiprim  4093  sikexg  4296
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