Theorem 19.8w 1894

Description: Weak version of 19.8a 2052 and instance of 19.2d 1893. (Contributed by NM, 1-Aug-2017.) (Proof shortened by Wolf Lammen, 4-Dec-2017.) (Revised by BJ, 31-Mar-2021.)

Hypothesis

Ref	Expression
19.8w.1	|- ( ph -> A. x ph )

Assertion

Ref	Expression
19.8w	|- ( ph -> E. x ph )

Proof of Theorem 19.8w

Step	Hyp	Ref	Expression
1		19.8w.1	. 2 |- ( ph -> A. x ph )
2	1	19.2d 1893	1 |- ( ph -> E. x ph )

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:  19.8v  1895