Metamath Proof Explorer


Theorem jarri

Description: Inference associated with jarr . Partial converse of ja (the other partial converse being jarli ). (Contributed by Wolf Lammen, 20-Sep-2013)

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

Proof

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