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Metamath Proof Explorer

Theorem sqge0d

Description: The square of a real is nonnegative, deduction form. (Contributed by Mario Carneiro, 28-May-2016)

		Ref	Expression
	Hypothesis	sqge0d.1	$⊢ φ \to A \in ℝ$
	Assertion	sqge0d	$⊢ φ \to 0 \leq A^{2}$

Step	Hyp	Ref	Expression
1		sqge0d.1	$⊢ φ \to A \in ℝ$
2		sqge0	$⊢ A \in ℝ \to 0 \leq A^{2}$
3	1 2	syl	$⊢ φ \to 0 \leq A^{2}$