Theorem bj-jarri 31706

Description: Inference associated with jarr 104. Its associated inference is bj-jarrii 31707. (Contributed by BJ, 29-Mar-2020.)

Hypothesis

Ref	Expression
bj-jarri.1	⊢ ((𝜑 → 𝜓) → 𝜒)

Assertion

Ref	Expression
bj-jarri	⊢ (𝜓 → 𝜒)

Proof of Theorem bj-jarri

Step	Hyp	Ref	Expression
1		bj-jarri.1	. 2 ⊢ ((𝜑 → 𝜓) → 𝜒)
2		jarr 104	. 2 ⊢ (((𝜑 → 𝜓) → 𝜒) → (𝜓 → 𝜒))
3	1, 2	ax-mp 5	1 ⊢ (𝜓 → 𝜒)

Syntax hints:   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is referenced by: (None)