Metamath Proof Explorer


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