foundations.Core.md.

Version of Sunday, January 22, 2023, 10:42 PM

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Investigations on graph-theoretical constructions in Homotopy type theory

Jonathan Prieto-Cubides j.w.w. Håkon Robbestad Gylterud

Department of Informatics

University of Bergen, Norway

{-# OPTIONS --without-K --exact-split #-}
module foundations.Core where
  -- ∙ Types very often used
  open import foundations.Type public
  open import foundations.BasicTypes public
  open import foundations.HLevelTypes public

  open import foundations.BasicFunctions public
  open import foundations.AlgebraOnPaths public
  open import foundations.Transport public
  open import foundations.TransportLemmas public
  open import foundations.AlgebraOnDependentPaths public

  open import foundations.ProductIdentities public
  open import foundations.CoproductIdentities public

  open import foundations.FibreType public
  open import foundations.EquivalenceType public
  open import foundations.EquivalenceReasoning public
  open import foundations.DependentAlgebra public

  open import foundations.ProductIdentities
  open import foundations.CoproductIdentities

  open import foundations.HomotopyType public
  open import foundations.HomotopyLemmas public

  open import foundations.FunExtAxiom
  open import foundations.FunExtTransport public
  open import foundations.FunExtTransportDependent public

  open import foundations.DecidableEquality public

  open import foundations.HalfAdjointType public

  open import foundations.QuasiinverseType public
  open import foundations.QuasiinverseLemmas public

  open import foundations.TruncationType public

  -- · Extra useful lemmas
  open import foundations.HLevelLemmas public
  open import foundations.HedbergLemmas public

  -- ∙ Equivalences
  open import foundations.BasicEquivalences public
  open import foundations.SigmaEquivalence public
  open import foundations.SigmaPreserves public
  open import foundations.PiPreserves public

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(2022-12-28)(57c278b4) Last updated: 2021-09-16 15:00:00 by jonathan.cubides
(2022-07-06)(d3a4a8cf) minors by jonathan.cubides
(2022-01-26)(4aef326b) [ reports ] added some revisions by jonathan.cubides
(2021-12-20)(049db6a8) Added code of cubical experiments. by jonathan.cubides
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