Theorem times2d

Description: A number times 2. (Contributed by Mario Carneiro, 27-May-2016)

	Ref	Expression
Hypothesis	2timesd.1	⊢ ( 𝜑 → 𝐴 ∈ ℂ )
Assertion	times2d	⊢ ( 𝜑 → ( 𝐴 · 2 ) = ( 𝐴 + 𝐴 ) )

Proof

Step	Hyp	Ref	Expression
1		2timesd.1	⊢ ( 𝜑 → 𝐴 ∈ ℂ )
2		times2	⊢ ( 𝐴 ∈ ℂ → ( 𝐴 · 2 ) = ( 𝐴 + 𝐴 ) )
3	1 2	syl	⊢ ( 𝜑 → ( 𝐴 · 2 ) = ( 𝐴 + 𝐴 ) )