Theorem 2timesd

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

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

Proof

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