Theorem bj-spnfw

Description: Theorem close to a closed form of spnfw . (Contributed by BJ, 12-May-2019)

	Ref	Expression
Assertion	bj-spnfw	⊢ ( ( ∃ 𝑥 𝜑 → 𝜓 ) → ( ∀ 𝑥 𝜑 → 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		19.2	⊢ ( ∀ 𝑥 𝜑 → ∃ 𝑥 𝜑 )
2	1	imim1i	⊢ ( ( ∃ 𝑥 𝜑 → 𝜓 ) → ( ∀ 𝑥 𝜑 → 𝜓 ) )