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 ∈ ℂ → 2 ⁢ X − X = X

Proof

Step Hyp Ref Expression
1 id ⊢ X ∈ ℂ → X ∈ ℂ
2 2times ⊢ X ∈ ℂ → 2 ⁢ X = X + X
3 1 1 2 mvrladdd ⊢ X ∈ ℂ → 2 ⁢ X − X = X