Metamath Proof Explorer

Theorem rabidim1

Description: Membership in a restricted abstraction, implication. (Contributed by Glauco Siliprandi, 26-Jun-2021)

Ref Expression
Assertion rabidim1 
|- ( x e. { x e. A | ph } -> x e. A )

Proof

Step Hyp Ref Expression
1 rabid 
 |-  ( x e. { x e. A | ph } <-> ( x e. A /\ ph ) )
2 1 simplbi 
 |-  ( x e. { x e. A | ph } -> x e. A )