Metamath Proof Explorer


Theorem rexn0OLD

Description: Obsolete version of rexn0 as of 2-Sep-2024. (Contributed by Szymon Jaroszewicz, 3-Apr-2007) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion rexn0OLD
|- ( E. x e. A ph -> A =/= (/) )

Proof

Step Hyp Ref Expression
1 ne0i
 |-  ( x e. A -> A =/= (/) )
2 1 a1d
 |-  ( x e. A -> ( ph -> A =/= (/) ) )
3 2 rexlimiv
 |-  ( E. x e. A ph -> A =/= (/) )