Negative_Linear_Transformation

Let $\left({G, +_G, \circ}\right)_R$ and $\left({H, +_H, \circ}\right)_R$ be $R$-modules. Let $\phi: G \to H$ be a linear transformation. Let $- \phi$ be the negative of $\phi$ as defined in Induced Structure Inverse. Then $- \phi: G \to H$ is also a linear transformation.