Metamath Proof Explorer


Theorem axac10

Description: Characterization of choice similar to dffin1-5 . (Contributed by Stefan O'Rear, 6-Jan-2015)

Ref Expression
Assertion axac10
|- ( ~~ " On ) = _V

Proof

Step Hyp Ref Expression
1 axac3
 |-  CHOICE
2 dfac10b
 |-  ( CHOICE <-> ( ~~ " On ) = _V )
3 1 2 mpbi
 |-  ( ~~ " On ) = _V