Theorem 2timesd

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

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

Proof

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