Theorem bj-xpexg2

Description: Curried (exported) form of xpexg . (Contributed by BJ, 2-Apr-2019)

	Ref	Expression
Assertion	bj-xpexg2	⊢ ( 𝐴 ∈ 𝑉 → ( 𝐵 ∈ 𝑊 → ( 𝐴 × 𝐵 ) ∈ V ) )

Proof

Step	Hyp	Ref	Expression
1		xpexg	⊢ ( ( 𝐴 ∈ 𝑉 ∧ 𝐵 ∈ 𝑊 ) → ( 𝐴 × 𝐵 ) ∈ V )
2	1	ex	⊢ ( 𝐴 ∈ 𝑉 → ( 𝐵 ∈ 𝑊 → ( 𝐴 × 𝐵 ) ∈ V ) )