Theorem 19.2d 1893

Description: Deduction associated with 19.2 1892. (Contributed by BJ, 12-May-2019.)

Hypothesis

Ref	Expression
19.2d.1	|- ( ph -> A. x ps )

Assertion

Ref	Expression
19.2d	|- ( ph -> E. x ps )

Proof of Theorem 19.2d

Step	Hyp	Ref	Expression
1		19.2d.1	. 2 |- ( ph -> A. x ps )
2		19.2 1892	. 2 |- ( A. x ps -> E. x ps )
3	1, 2	syl 17	1 |- ( ph -> E. x ps )

Syntax hints:   -> wi 4   A.wal 1481   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  ax-6 1888

This theorem depends on definitions:  df-bi 197  df-ex 1705

This theorem is referenced by:  19.8w  1894  aevdemo  27317