Metamath Proof Explorer


Theorem times2d

Description: A number times 2. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis 2timesd.1
|- ( ph -> A e. CC )
Assertion times2d
|- ( ph -> ( A x. 2 ) = ( A + A ) )

Proof

Step Hyp Ref Expression
1 2timesd.1
 |-  ( ph -> A e. CC )
2 times2
 |-  ( A e. CC -> ( A x. 2 ) = ( A + A ) )
3 1 2 syl
 |-  ( ph -> ( A x. 2 ) = ( A + A ) )