Metamath Proof Explorer


Theorem times2i

Description: A number times 2. (Contributed by NM, 11-May-2004)

Ref Expression
Hypothesis 2timesi.1 ⊢ A ∈ ℂ
Assertion times2i ⊢ A ⋅ 2 = A + A

Proof

Step Hyp Ref Expression
1 2timesi.1 ⊢ A ∈ ℂ
2 times2 ⊢ A ∈ ℂ → A ⋅ 2 = A + A
3 1 2 ax-mp ⊢ A ⋅ 2 = A + A