Metamath Proof Explorer


Theorem idn1

Description: Virtual deduction identity rule which is id with virtual deduction symbols. (Contributed by Alan Sare, 24-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion idn1
|- (. ph ->. ph ).

Proof

Step Hyp Ref Expression
1 id
 |-  ( ph -> ph )
2 1 dfvd1ir
 |-  (. ph ->. ph ).