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Axiom ax-cnv 4080
Description: State the axiom of converse. This axiom guarantees the existence of the Kuratowski converse of . Axiom P7 of [Hailperin] p. 10. (Contributed by SF, 12-Jan-2015.)
Assertion
Ref Expression
ax-cnv
Distinct variable group:   ,,,

Detailed syntax breakdown of Axiom ax-cnv
StepHypRef Expression
1 vz . . . . . . . 8
21cv 1641 . . . . . . 7
3 vw . . . . . . . 8
43cv 1641 . . . . . . 7
52, 4copk 4057 . . . . . 6
6 vy . . . . . . 7
76cv 1641 . . . . . 6
85, 7wcel 1710 . . . . 5
94, 2copk 4057 . . . . . 6
10 vx . . . . . . 7
1110cv 1641 . . . . . 6
129, 11wcel 1710 . . . . 5
138, 12wb 176 . . . 4
1413, 3wal 1540 . . 3
1514, 1wal 1540 . 2
1615, 6wex 1541 1
Colors of variables: wff setvar class
This axiom is referenced by:  axcnvprim  4091  cnvkexg  4286
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