Metamath Proof Explorer


Theorem 2txmxeqx

Description: Two times a complex number minus the number itself results in the number itself. (Contributed by Alexander van der Vekens, 8-Jun-2018)

Ref Expression
Assertion 2txmxeqx
|- ( X e. CC -> ( ( 2 x. X ) - X ) = X )

Proof

Step Hyp Ref Expression
1 id
 |-  ( X e. CC -> X e. CC )
2 2times
 |-  ( X e. CC -> ( 2 x. X ) = ( X + X ) )
3 1 1 2 mvrladdd
 |-  ( X e. CC -> ( ( 2 x. X ) - X ) = X )