Theorem resqcli

Description: Closure of square in reals. (Contributed by NM, 2-Aug-1999)

	Ref	Expression
Hypothesis	resqcl.1	⊢ 𝐴 ∈ ℝ
Assertion	resqcli	⊢ ( 𝐴 ↑ 2 ) ∈ ℝ

Proof

Step	Hyp	Ref	Expression
1		resqcl.1	⊢ 𝐴 ∈ ℝ
2		resqcl	⊢ ( 𝐴 ∈ ℝ → ( 𝐴 ↑ 2 ) ∈ ℝ )
3	1 2	ax-mp	⊢ ( 𝐴 ↑ 2 ) ∈ ℝ