Category:Isometry between Metric Spaces is Continuous

This category contains pages concerning Isometry between Metric Spaces is Continuous:

Let $M_1 = \struct {A_1, d_1}$ and $M_2 = \struct {A_2, d_2}$ be metric spaces.

Let $\phi: M_1 \to M_2$ be an isometry.

Then $\phi: M_1 \to M_2$ is a continuous mapping.