Metamath Proof Explorer


Theorem bnj101

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

Ref Expression
Hypotheses bnj101.1
|- E. x ph
bnj101.2
|- ( ph -> ps )
Assertion bnj101
|- E. x ps

Proof

Step Hyp Ref Expression
1 bnj101.1
 |-  E. x ph
2 bnj101.2
 |-  ( ph -> ps )
3 1 2 eximii
 |-  E. x ps