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Axiom ax-ins2 3186
Description: State the insertion two axiom. This axiom sets up a set that inserts an extra variable at the second place of the relationship described by . Axiom P3 of {{Hailperin}}.
Assertion
Ref Expression
ax-ins2
Distinct variable group:   ,,,,

Detailed syntax breakdown of Axiom ax-ins2
StepHypRef Expression
1 vz . . . . . . . . . . 11
21cv 1397 . . . . . . . . . 10
32csn 2803 . . . . . . . . 9
43csn 2803 . . . . . . . 8
5 vw . . . . . . . . . 10
65cv 1397 . . . . . . . . 9
7 vt . . . . . . . . . 10
87cv 1397 . . . . . . . . 9
96, 8copk 2862 . . . . . . . 8
104, 9copk 2862 . . . . . . 7
11 vy . . . . . . . 8
1211cv 1397 . . . . . . 7
1310, 12wcel 1400 . . . . . 6
142, 8copk 2862 . . . . . . 7
15 vx . . . . . . . 8
1615cv 1397 . . . . . . 7
1714, 16wcel 1400 . . . . . 6
1813, 17wb 173 . . . . 5
1918, 7wal 1322 . . . 4
2019, 5wal 1322 . . 3
2120, 1wal 1322 . 2
2221, 11wex 1327 1
Colors of variables: wff set class
This axiom is referenced by:  axins2prim  3197  ins2kexg  3409
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