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Axiom ax-si 3185
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}}.
Assertion
Ref Expression
ax-si
Distinct variable group:   ,,,

Detailed syntax breakdown of Axiom ax-si
StepHypRef Expression
1 vz . . . . . . . . 9
21cv 1397 . . . . . . . 8
32csn 2803 . . . . . . 7
4 vw . . . . . . . . 9
54cv 1397 . . . . . . . 8
65csn 2803 . . . . . . 7
73, 6copk 2862 . . . . . 6
8 vy . . . . . . 7
98cv 1397 . . . . . 6
107, 9wcel 1400 . . . . 5
112, 5copk 2862 . . . . . 6
12 vx . . . . . . 7
1312cv 1397 . . . . . 6
1411, 13wcel 1400 . . . . 5
1510, 14wb 173 . . . 4
1615, 4wal 1322 . . 3
1716, 1wal 1322 . 2
1817, 8wex 1327 1
Colors of variables: wff set class
This axiom is referenced by:  axsiprim  3195  sikexg  3400
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