Theorem bnj1239 30876

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

Assertion

Ref	Expression
bnj1239	|- ( E. x e. A ( ps /\ ch ) -> E. x e. A ps )

Proof of Theorem bnj1239

Step	Hyp	Ref	Expression
1		simpl 473	. 2 |- ( ( ps /\ ch ) -> ps )
2	1	reximi 3011	1 |- ( E. x e. A ( ps /\ ch ) -> E. x e. A ps )

Syntax hints:   -> wi 4   /\ wa 384   E.wrex 2913

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737

This theorem depends on definitions:  df-bi 197  df-an 386  df-ex 1705  df-ral 2917  df-rex 2918

This theorem is referenced by:  bnj1238  30877  bnj1299  30889  bnj66  30930