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 )