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	$$⊢A\cdot 0=0$$

Proof

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	$$⊢A\cdot 0=0$$