Theorem exa1 1765

Description: Add an antecedent in an existentially quantified formula. (Contributed by BJ, 6-Oct-2018.)

Assertion

Ref	Expression
exa1	|- ( E. x ph -> E. x ( ps -> ph ) )

Proof of Theorem exa1

Step	Hyp	Ref	Expression
1		ax-1 6	. 2 |- ( ph -> ( ps -> ph ) )
2	1	eximi 1762	1 |- ( E. x ph -> E. x ( ps -> ph ) )

Syntax hints:   -> wi 4   E.wex 1704

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-ex 1705

This theorem is referenced by:  19.35  1805