Theorem mul02i

Description: Multiplication by 0. Theorem I.6 of Apostol p. 18. (Contributed by NM, 23-Nov-1994)

	Ref	Expression
Hypothesis	mul.1	$$⊢A\in ℂ$$
Assertion	mul02i	$$⊢0\cdot A=0$$

Proof

Step	Hyp	Ref	Expression
1		mul.1	$$⊢A\in ℂ$$
2		mul02	$$⊢A\in ℂ\to 0\cdot A=0$$
3	1 2	ax-mp	$$⊢0\cdot A=0$$