Metamath Proof Explorer

Theorem bnj1266

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

Ref Expression
Hypothesis bnj1266.1 
|- ( ch -> E. x ( ph /\ ps ) )
Assertion bnj1266 
|- ( ch -> E. x ps )

Proof

Step Hyp Ref Expression
1 bnj1266.1 
 |-  ( ch -> E. x ( ph /\ ps ) )
2 simpr 
 |-  ( ( ph /\ ps ) -> ps )
3 1 2 bnj593 
 |-  ( ch -> E. x ps )