Ayberk Tosun, 13 September 2023 \begin{code}[hide] {-# OPTIONS --safe --without-K #-} open import UF.PropTrunc open import UF.FunExt module Locales.NotationalConventions (pt : propositional-truncations-exist) (fe : Fun-Ext) where open import Locales.SmallBasis pt fe open import Locales.Spectrality.SpectralLocale pt fe \end{code} \section{Data vs. property distinction} As we work in Univalent Foundations, we maintain a careful distinction between structures and properties. To emphasise that we are working with the structural version of a definition that has a version that is a property, we use the superscript `_ᴰ` (for "data"). For example, we have `spectralᴰ` which denotes the structure involved in spectrality. \begin{code} _ = spectralᴰ \end{code} The version that is a property is called `is-spectral`. \begin{code} _ = is-spectral \end{code} \section{Locales vs. frames} TODO