Theorem dfvd2impr 38829

Description: A 2-antecedent nested implication implies its virtual deduction form. (Contributed by Alan Sare, 21-Apr-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
dfvd2impr	|- ( ( ph -> ( ps -> ch ) ) -> (. ph ,. ps ->. ch ). )

Proof of Theorem dfvd2impr

Step	Hyp	Ref	Expression
1		dfvd2 38795	. 2 |- ( (. ph ,. ps ->. ch ). <-> ( ph -> ( ps -> ch ) ) )
2	1	biimpri 218	1 |- ( ( ph -> ( ps -> ch ) ) -> (. ph ,. ps ->. ch ). )

Syntax hints:   -> wi 4   (.wvd2 38793

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386  df-vd2 38794

This theorem is referenced by: (None)