Metamath Proof Explorer


Theorem bj-jarrii

Description: Inference associated with jarri . Contrary to it , it does not require ax-2 , but only ax-mp and ax-1 . (Contributed by BJ, 29-Mar-2020) (Proof modification is discouraged.)

Ref Expression
Hypotheses bj-jarrii.1
|- ( ( ph -> ps ) -> ch )
bj-jarrii.2
|- ps
Assertion bj-jarrii
|- ch

Proof

Step Hyp Ref Expression
1 bj-jarrii.1
 |-  ( ( ph -> ps ) -> ch )
2 bj-jarrii.2
 |-  ps
3 2 a1i
 |-  ( ph -> ps )
4 3 1 ax-mp
 |-  ch