Metamath Proof Explorer


Theorem idn2

Description: Virtual deduction identity rule which is idd with virtual deduction symbols. (Contributed by Alan Sare, 21-Apr-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion idn2
|- (. ph ,. ps ->. ps ).

Proof

Step Hyp Ref Expression
1 idd
 |-  ( ph -> ( ps -> ps ) )
2 1 dfvd2ir
 |-  (. ph ,. ps ->. ps ).