Metamath Proof Explorer


Theorem a1i

Description: Inference introducing an antecedent. Inference associated with ax-1 . Its associated inference is a1ii . See conventions for a definition of "associated inference". (Contributed by NM, 29-Dec-1992)

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

Proof

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