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Metamath Proof Explorer

Theorem sq0i

Description: If a number is zero, then its square is zero. (Contributed by FL, 10-Dec-2006)

		Ref	Expression
	Assertion	sq0i	$⊢ A = 0 \to A^{2} = 0$

Step	Hyp	Ref	Expression
1		oveq1	$⊢ A = 0 \to A^{2} = 0^{2}$
2		sq0	$⊢ 0^{2} = 0$
3	1 2	eqtrdi	$⊢ A = 0 \to A^{2} = 0$