Metamath Proof Explorer


Theorem 2a1i

Description: Inference introducing two antecedents. Two applications of a1i . Inference associated with 2a1 . (Contributed by Jeff Hankins, 4-Aug-2009)

Ref Expression
Hypothesis 2a1i.1
|- ph
Assertion 2a1i
|- ( ps -> ( ch -> ph ) )

Proof

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