Theorem dfvd1imp 38791

Description: Left-to-right part of definition of virtual deduction. (Contributed by Alan Sare, 21-Apr-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
dfvd1imp	|- ( (. ph ->. ps ). -> ( ph -> ps ) )

Proof of Theorem dfvd1imp

Step	Hyp	Ref	Expression
1		df-vd1 38786	. 2 |- ( (. ph ->. ps ). <-> ( ph -> ps ) )
2	1	biimpi 206	1 |- ( (. ph ->. ps ). -> ( ph -> ps ) )

Syntax hints:   -> wi 4   (.wvd1 38785

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-vd1 38786

This theorem is referenced by:  gen11  38841