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 ∈ ℂ
Assertion	mul02i	⊢ ( 0 · 𝐴 ) = 0

Proof

Step	Hyp	Ref	Expression
1		mul.1	⊢ 𝐴 ∈ ℂ
2		mul02	⊢ ( 𝐴 ∈ ℂ → ( 0 · 𝐴 ) = 0 )
3	1 2	ax-mp	⊢ ( 0 · 𝐴 ) = 0