Metamath Proof Explorer


Theorem pm2.86i

Description: Inference associated with pm2.86 . (Contributed by NM, 5-Aug-1993) (Proof shortened by Wolf Lammen, 3-Apr-2013)

Ref Expression
Hypothesis pm2.86i.1
|- ( ( ph -> ps ) -> ( ph -> ch ) )
Assertion pm2.86i
|- ( ph -> ( ps -> ch ) )

Proof

Step Hyp Ref Expression
1 pm2.86i.1
 |-  ( ( ph -> ps ) -> ( ph -> ch ) )
2 1 jarri
 |-  ( ps -> ( ph -> ch ) )
3 2 com12
 |-  ( ph -> ( ps -> ch ) )