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