Metamath Proof Explorer


Theorem vd02

Description: Two virtual hypotheses virtually infer a theorem. (Contributed by Alan Sare, 14-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis vd02.1
|- ph
Assertion vd02
|- (. ps ,. ch ->. ph ).

Proof

Step Hyp Ref Expression
1 vd02.1
 |-  ph
2 1 a1i
 |-  ( ch -> ph )
3 2 a1i
 |-  ( ps -> ( ch -> ph ) )
4 3 dfvd2ir
 |-  (. ps ,. ch ->. ph ).