Composite of Continuous Mappings is Continuous/Corollary
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Let $T_1, T_2, T_3$ each be one of:
Let $f: T_1 \to T_2$ and $g: T_2 \to T_3$ be continuous mappings.
These follow directly from:
- 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $3$: Continuity generalized: topological spaces: $3.1$: Topological Spaces: Example $3.1.9$