Theorem bj-nexdh2 32607

Description: Uncurried (imported) form of bj-nexdh 32606. (Contributed by BJ, 6-May-2019.)

Assertion

Ref	Expression
bj-nexdh2	|- ( ( A. x ( ph -> -. ps ) /\ ( ch -> A. x ph ) ) -> ( ch -> -. E. x ps ) )

Proof of Theorem bj-nexdh2

Step	Hyp	Ref	Expression
1		bj-nexdh 32606	. 2 |- ( A. x ( ph -> -. ps ) -> ( ( ch -> A. x ph ) -> ( ch -> -. E. x ps ) ) )
2	1	imp 445	1 |- ( ( A. x ( ph -> -. ps ) /\ ( ch -> A. x ph ) ) -> ( ch -> -. E. x ps ) )

Syntax hints:   -. wn 3   -> wi 4   /\ wa 384   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-4 1737

This theorem depends on definitions:  df-bi 197  df-an 386  df-ex 1705

This theorem is referenced by: (None)