{-# OPTIONS --safe #-}
module Cubical.Data.Empty.Properties where

open import Cubical.Core.Everything

open import Cubical.Foundations.Prelude
open import Cubical.Foundations.Isomorphism

open import Cubical.Data.Empty.Base

isProp⊥ : isProp 
isProp⊥ ()

isProp⊥* :  {}  isProp {} ⊥*
isProp⊥* _ ()

isContr⊥→A :  {} {A : Type }  isContr (  A)
fst isContr⊥→A ()
snd isContr⊥→A f i ()

uninhabEquiv :  { ℓ'} {A : Type } {B : Type ℓ'}
   (A  )  (B  )  A  B
uninhabEquiv ¬a ¬b = isoToEquiv isom
  where
  open Iso
  isom : Iso _ _
  isom .fun a = rec (¬a a)
  isom .inv b = rec (¬b b)
  isom .rightInv b = rec (¬b b)
  isom .leftInv a = rec (¬a a)