# Homotopy Type Theory axiom R-flat > history (Rev #3, changes)

Showing changes from revision #2 to #3: Added | Removed | Changed

## Definition

Axiom  R\flat \mathbb{R}\flat: For a space $A$, $A$ is discrete if and only if for every universe const: \mathcal{U} A \to (\mathbb{R} \to A) is and an every locally$\mathcal{U}$-small Dedekind real numbers $\mathbb{R}_\mathcal{U}$, the function $const: A \to (\mathbb{R}_\mathcal{U} \to A)$ is an equivalence , . where$\mathbb{R}$ is the Dedekind real numbers.