Theorem 2timesi

Description: Two times a number. (Contributed by NM, 1-Aug-1999)

	Ref	Expression
Hypothesis	2timesi.1	⊢ 𝐴 ∈ ℂ
Assertion	2timesi	⊢ ( 2 · 𝐴 ) = ( 𝐴 + 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		2timesi.1	⊢ 𝐴 ∈ ℂ
2		2times	⊢ ( 𝐴 ∈ ℂ → ( 2 · 𝐴 ) = ( 𝐴 + 𝐴 ) )
3	1 2	ax-mp	⊢ ( 2 · 𝐴 ) = ( 𝐴 + 𝐴 )