Let $(a, b) \subseteq \mathbb{R}$ be an D543: Open real interval such that
(i) | $f : (a, b) \to \mathbb{R}$ is a D5606: Subconvex real function |
(ii) | $g : (a, b) \to \mathbb{R}$ is a D5607: Superconvex real function |
Then
(1) | $f$ is a D5231: Standard-continuous real function |
(2) | $g$ is a D5231: Standard-continuous real function |