Theorem ala1

Description: Add an antecedent in a universally quantified formula. (Contributed by BJ, 6-Oct-2018)

	Ref	Expression
Assertion	ala1	$$⊢\forall x\phi \to \forall x\left(\psi \to \phi \right)$$

Proof

Step	Hyp	Ref	Expression
1		ax-1	$$⊢\phi \to \left(\psi \to \phi \right)$$
2	1	alimi	$$⊢\forall x\phi \to \forall x\left(\psi \to \phi \right)$$