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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	$⊢ X \in ℂ \to 2 X - X = X$

Proof

Step	Hyp	Ref	Expression
1		id	$⊢ X \in ℂ \to X \in ℂ$
2		2times	$⊢ X \in ℂ \to 2 X = X + X$
3	1 1 2	mvrladdd	$⊢ X \in ℂ \to 2 X - X = X$