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Metamath Proof Explorer

Theorem resqcl

Description: Closure of squaring in reals. (Contributed by NM, 18-Oct-1999)

		Ref	Expression
	Assertion	resqcl	$⊢ A \in ℝ \to A^{2} \in ℝ$

Step	Hyp	Ref	Expression
1		2nn0	$⊢ 2 \in ℕ_{0}$
2		reexpcl	$⊢ (A \in ℝ \land 2 \in ℕ_{0}) \to A^{2} \in ℝ$
3	1 2	mpan2	$⊢ A \in ℝ \to A^{2} \in ℝ$