Metamath Proof Explorer


Theorem jarrii

Description: Inference associated with jarri . A consequence of ax-mp and ax-1 . (Contributed by SN, 14-Oct-2025)

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

Proof

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