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Metamath Proof Explorer

Theorem mul01i

Description: Multiplication by 0 . Theorem I.6 of Apostol p. 18. (Contributed by NM, 23-Nov-1994) (Revised by Scott Fenton, 3-Jan-2013)

		Ref	Expression
	Hypothesis	mul.1	$⊢ A \in ℂ$
	Assertion	mul01i	$⊢ A \cdot 0 = 0$

Step	Hyp	Ref	Expression
1		mul.1	$⊢ A \in ℂ$
2		mul01	$⊢ A \in ℂ \to A \cdot 0 = 0$
3	1 2	ax-mp	$⊢ A \cdot 0 = 0$