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Axiom ax-typlower 4086
Description: The type lowering axiom. This axiom eventually sets up both the existence of the sum set and the existence of the range of a relationship. Axiom P6 of [Hailperin] p. 10. (Contributed by SF, 12-Jan-2015.)
Assertion
Ref Expression
ax-typlower
Distinct variable group:   ,,,

Detailed syntax breakdown of Axiom ax-typlower
StepHypRef Expression
1 vz . . . . 5
2 vy . . . . 5
31, 2wel 1711 . . . 4
4 vw . . . . . . . 8
54cv 1641 . . . . . . 7
61cv 1641 . . . . . . . 8
76csn 3737 . . . . . . 7
85, 7copk 4057 . . . . . 6
9 vx . . . . . . 7
109cv 1641 . . . . . 6
118, 10wcel 1710 . . . . 5
1211, 4wal 1540 . . . 4
133, 12wb 176 . . 3
1413, 1wal 1540 . 2
1514, 2wex 1541 1
Colors of variables: wff setvar class
This axiom is referenced by:  axtyplowerprim  4094  p6exg  4290
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