Theorem bj-exlimh2 32603

Description: Uncurried (imported) form of bj-exlimh 32602. (Contributed by BJ, 2-May-2019.)

Assertion

Ref	Expression
bj-exlimh2	|- ( ( A. x ( ph -> ps ) /\ ( E. x ps -> ch ) ) -> ( E. x ph -> ch ) )

Proof of Theorem bj-exlimh2

Step	Hyp	Ref	Expression
1		bj-exlimh 32602	. 2 |- ( A. x ( ph -> ps ) -> ( ( E. x ps -> ch ) -> ( E. x ph -> ch ) ) )
2	1	imp 445	1 |- ( ( A. x ( ph -> ps ) /\ ( E. x ps -> ch ) ) -> ( E. x ph -> ch ) )

Syntax hints:   -> 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-gen 1722  ax-4 1737

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

This theorem is referenced by: (None)