Metamath Proof Explorer


Theorem dfvd1imp

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.)

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

Proof

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