This is an archived version pinned as of the submission of my master's thesis. An up-to-date version may be found online.

Species of inhabited types

module species.species-of-inhabited-types where
Imports 
open import foundation.inhabited-types
open import foundation.unit-type
open import foundation.universe-levels

open import species.species-of-types-in-subuniverses

Idea

A species of inhabited types is a map from the subuniverse of inhabited types to a universe.

Definition

species-inhabited-types : (l1 l2 : Level) → UU (lsuc l1 ⊔ lsuc l2)
species-inhabited-types l1 l2 =
  species-subuniverse (is-inhabited-Prop {l1}) λ (X : UU l2) → unit-Prop