Theorem jarrii 42222

Description: Inference associated with jarri 107. A consequence of ax-mp 5 and ax-1 6. (Contributed by SN, 14-Oct-2025.)

Hypotheses

Ref	Expression
jarrii.1	⊢ 𝜓
jarrii.2	⊢ ((𝜑 → 𝜓) → 𝜒)

Assertion

Ref	Expression
jarrii	⊢ 𝜒

Proof of Theorem jarrii

Step	Hyp	Ref	Expression
1		jarrii.1	. . 3 ⊢ 𝜓
2	1	a1i 11	. 2 ⊢ (𝜑 → 𝜓)
3		jarrii.2	. 2 ⊢ ((𝜑 → 𝜓) → 𝜒)
4	2, 3	ax-mp 5	1 ⊢ 𝜒

Syntax hints:   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6

This theorem is referenced by: (None)