Metamath Proof Explorer


Theorem idn3

Description: Virtual deduction identity rule for three virtual hypotheses. (Contributed by Alan Sare, 11-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion idn3
|- (. ph ,. ps ,. ch ->. ch ).

Proof

Step Hyp Ref Expression
1 idd
 |-  ( ps -> ( ch -> ch ) )
2 1 a1i
 |-  ( ph -> ( ps -> ( ch -> ch ) ) )
3 2 dfvd3ir
 |-  (. ph ,. ps ,. ch ->. ch ).