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Axiom ax-ins3 4085
Description: State the insertion three axiom. This axiom sets up a set that inserts an extra variable at the third place of the relationship described by . Axiom P4 of [Hailperin] p. 10.
Assertion
Ref Expression
ax-ins3
Distinct variable group:   ,,,,

Detailed syntax breakdown of Axiom ax-ins3
StepHypRef Expression
1 vz . . . . . . . . . . 11
21cv 1641 . . . . . . . . . 10
32csn 3737 . . . . . . . . 9
43csn 3737 . . . . . . . 8
5 vw . . . . . . . . . 10
65cv 1641 . . . . . . . . 9
7 vt . . . . . . . . . 10
87cv 1641 . . . . . . . . 9
96, 8copk 4057 . . . . . . . 8
104, 9copk 4057 . . . . . . 7
11 vy . . . . . . . 8
1211cv 1641 . . . . . . 7
1310, 12wcel 1710 . . . . . 6
142, 6copk 4057 . . . . . . 7
15 vx . . . . . . . 8
1615cv 1641 . . . . . . 7
1714, 16wcel 1710 . . . . . 6
1813, 17wb 176 . . . . 5
1918, 7wal 1540 . . . 4
2019, 5wal 1540 . . 3
2120, 1wal 1540 . 2
2221, 11wex 1541 1
Colors of variables: wff set class
This axiom is referenced by:  axins3prim  4096  ins3kexg  4306
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