Theorem sps

Description: Generalization of antecedent. (Contributed by NM, 5-Jan-1993)

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

Proof

Step	Hyp	Ref	Expression
1		sps.1	⊢ ( 𝜑 → 𝜓 )
2		sp	⊢ ( ∀ 𝑥 𝜑 → 𝜑 )
3	2 1	syl	⊢ ( ∀ 𝑥 𝜑 → 𝜓 )