Theorem sqxpexg

Description: The Cartesian square of a set is a set. (Contributed by AV, 13-Jan-2020)

	Ref	Expression
Assertion	sqxpexg	⊢ ( 𝐴 ∈ 𝑉 → ( 𝐴 × 𝐴 ) ∈ V )

Proof

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