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 ⊢ 𝜓
jarrii.2 ⊢ ( ( 𝜑 → 𝜓 ) → 𝜒 )
Assertion jarrii 𝜒

Proof

Step Hyp Ref Expression
1 jarrii.1 ⊢ 𝜓
2 jarrii.2 ⊢ ( ( 𝜑 → 𝜓 ) → 𝜒 )
3 1 a1i ⊢ ( 𝜑 → 𝜓 )
4 3 2 ax-mp ⊢ 𝜒