Metamath Proof Explorer


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