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Metamath Proof Explorer

Theorem 19.40

Description: Theorem 19.40 of Margaris p. 90. (Contributed by NM, 26-May-1993)

Ref Expression
Assertion 19.40 
|- ( E. x ( ph /\ ps ) -> ( E. x ph /\ E. x ps ) )

Proof

Step Hyp Ref Expression
1 exsimpl 
 |-  ( E. x ( ph /\ ps ) -> E. x ph )
2 exsimpr 
 |-  ( E. x ( ph /\ ps ) -> E. x ps )
3 1 2 jca 
 |-  ( E. x ( ph /\ ps ) -> ( E. x ph /\ E. x ps ) )