Theorem ax5d

Description: Version of ax-5 with antecedent. Useful in proofs of deduction versions of bound-variable hypothesis builders. (Contributed by NM, 1-Mar-2013)

	Ref	Expression
Assertion	ax5d	$$⊢\phi \to \left(\psi \to \forall x\psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		ax-5	$$⊢\psi \to \forall x\psi$$
2	1	a1i	$$⊢\phi \to \left(\psi \to \forall x\psi \right)$$