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	⊢ ( 𝜑 → ( 𝜓 → ∀ 𝑥 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		ax-5	⊢ ( 𝜓 → ∀ 𝑥 𝜓 )
2	1	a1i	⊢ ( 𝜑 → ( 𝜓 → ∀ 𝑥 𝜓 ) )