Modules

categorical-crypto

  • Prelude

CategoricalCrypto

  • CategoricalCrypto
  • Abstract
  • Abstract2
  • Abstract2.Equivalence
  • Abstract2.Morphism
  • Abstract2.OAPEmulation
  • Abstract2.WideSubcategory
  • Channel.Category
  • Channel.Core
  • Channel.Selection
  • Examples.Basic
  • Examples.Commitment
  • Examples.RelSetup
  • Examples.Signatures
  • FamilyCategory
  • Machine.Constraints
  • Machine.Core
  • MachineAxioms
  • RandomOracle
  • RandomOracle2
  • SFunM
  • Standard
  • Standard2
  • Standard2.Morphism
  • StandardTV
  • UCSetup
  • UCSetup.Morphism
  • VanishingTV

Categories

  • Actegory
  • Actegory.Underlying
  • Category.EquivClosureHelper
  • Coherence.Monoidal
  • Coherence.Monoidal.Compare
  • Coherence.Monoidal.Diagram
  • Coherence.Monoidal.Frontend
  • Coherence.Monoidal.Frontend.Core
  • Coherence.Monoidal.Frontend.Sigma
  • Coherence.Monoidal.MacLane
  • Coherence.Monoidal.Normalize
  • Coherence.Monoidal.Reflect
  • Coherence.Monoidal.Sigma
  • Coherence.Monoidal.Test.Frontend
  • Coherence.Monoidal.Test.InterchangeStress
  • Coherence.Monoidal.Test.Limitations
  • Coherence.Monoidal.Test.SigmaFrontend
  • Coherence.Monoidal.WireCoherence
  • CoherenceIsos
  • Diagram.Coend.Ext.Setoids
  • Discrete
  • FreeMonoidal
  • FreeStrictMonoidal
  • Functor.Monoidal.CurriedTensor
  • Functor.Monoidal.CurriedTensor.Properties
  • Functor.Monoidal.Properties.Ext
  • Functor.Presheaf.Morphism
  • GradedKleisli
  • GradedKleisli.Functorial
  • GradedKleisli.Functorial.Category
  • GradedKleisli.Regrade
  • KernelCongruence
  • KernelCongruence.Reindex
  • LocallyGraded
  • LocallyGraded.FreeActegory
  • LocallyGraded.FreeActegory.Kleisli
  • LocallyGraded.Kleisli
  • Monad.Graded.Ext
  • Monad.Graded.Morphism
  • Monad.Graded.Pullback
  • Monad.Graded.Uncurried
  • Morphism.Reasoning.Ext
  • NaturalTransformationHelper
  • Properties

Class

  • Monad.Ext

Data

  • List.Properties.Ext
  • Maybe.Ext
  • Nat.Poly

LibExt

  • LibExt
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{-# OPTIONS --without-K --safe #-}
 
-- Definition of Monoidal Category
 
-- Big design decision that differs from the previous version:
-- Do not go through "Functor.Power" to encode variables and work
-- at the level of NaturalIsomorphisms, instead work at the object/morphism
-- level, via the more direct _⊗₀_ _⊗₁_ _⊗- -⊗_.
-- The original design needed quite a few contortions to get things working,
-- but these are simply not needed when working directly with the morphisms.
--
-- Smaller design decision: export some items with long names
-- (unitorˡ, unitorʳ and associator), but internally work with the more classical
-- short greek names (λ, ρ and α respectively).
 
module Categories.Category.Monoidal where
 
open import Categories.Category.Monoidal.Core public
open import Categories.Category.Monoidal.Bundle public