Theorem axc4i

Description: Inference version of axc4 . (Contributed by NM, 3-Jan-1993)

	Ref	Expression
Hypothesis	axc4i.1	⊢ ( ∀ 𝑥 𝜑 → 𝜓 )
Assertion	axc4i	⊢ ( ∀ 𝑥 𝜑 → ∀ 𝑥 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		axc4i.1	⊢ ( ∀ 𝑥 𝜑 → 𝜓 )
2		nfa1	⊢ Ⅎ 𝑥 ∀ 𝑥 𝜑
3	2 1	alrimi	⊢ ( ∀ 𝑥 𝜑 → ∀ 𝑥 𝜓 )