Theorem sps-o

Description: Generalization of antecedent. (Contributed by NM, 5-Jan-1993) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	sps-o.1	$$⊢\phi \to \psi$$
Assertion	sps-o	$$⊢\forall x\phi \to \psi$$

Proof

Step	Hyp	Ref	Expression
1		sps-o.1	$$⊢\phi \to \psi$$
2		ax-c5	$$⊢\forall x\phi \to \phi$$
3	2 1	syl	$$⊢\forall x\phi \to \psi$$