Metamath Proof Explorer


Theorem 0domgOLD

Description: Obsolete version of 0domg as of 29-Nov-2024. (Contributed by NM, 26-Oct-2003) (Revised by Mario Carneiro, 26-Apr-2015) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion 0domgOLD
|- ( A e. V -> (/) ~<_ A )

Proof

Step Hyp Ref Expression
1 0ss
 |-  (/) C_ A
2 ssdomg
 |-  ( A e. V -> ( (/) C_ A -> (/) ~<_ A ) )
3 1 2 mpi
 |-  ( A e. V -> (/) ~<_ A )