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Metamath Proof Explorer

Theorem mul01d

Description: Multiplication by 0 . Theorem I.6 of Apostol p. 18. (Contributed by Mario Carneiro, 27-May-2016)

		Ref	Expression
	Hypothesis	muld.1	$⊢ φ \to A \in ℂ$
	Assertion	mul01d	$⊢ φ \to A \cdot 0 = 0$

Step	Hyp	Ref	Expression
1		muld.1	$⊢ φ \to A \in ℂ$
2		mul01	$⊢ A \in ℂ \to A \cdot 0 = 0$
3	1 2	syl	$⊢ φ \to A \cdot 0 = 0$