Canonical Injection into Metric Space Product with P-Product Metric is Continuous/Proof 1

Proof
Let $\pr_1: \MM \to M_1$ and $\pr_2: \MM \to T_2$ be the first and second projections from $\MM$ onto its factors.

From Projection from Metric Space Product with P-Product Metric is Continuous, both $\pr_1$ and $\pr_2$ are continuous

The result follows from Continuous Mapping to Product Space.