Definition:Uniform Equivalence/Metrics

Definition
Let $A$ be a set on which there are two metrics imposed: $d_1$ and $d_2$.

Then $d_1$ and $d_2$ are uniformly equivalent the identity mapping of $A$ is uniformly $\tuple {d_1, d_2}$-continuous and also uniformly $\tuple {d_2, d_1}$-continuous.