proposition: Proposition continuation_functor_op_enrichment_laws : @is_functor_enrichment V (V ^opp) V continuation_functor_op (op_enrichment V (self_enrichment V)) (self_enrichment V) (λ x y, internal_lam (sym_mon_braiding V _ _ · internal_comp _ _ _)).
proof: Proof. repeat split. - intro x. exact (pr1 continuation_functor_enrichment_laws x). - intros x y z. cbn. rewrite !assoc'. etrans. { apply maponpaths. exact (pr12 continuation_functor_enrichment_laws z y x). } cbn. rewrite !assoc. apply maponpaths_2. rewrite <- tensor_sym_mon_braiding. rewrite !assoc'. rewrite sym_mon_braiding_inv. apply id_right. - intros x y f. exact (pr22 continuation_functor_enrichment_laws y x f). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.OppositeCategory.Core UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Structure.Cartesian UniMath.CategoryTheory.Monoidal.Structure.Symmetric UniMath.CategoryTheory.Monoidal.Structure.Closed UniMath.CategoryTheory.Monoidal.Examples.CartesianMonoidal UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.EnrichedCats.Enrichment UniMath.CategoryTheory.EnrichedCats.EnrichmentFunctor UniMath.CategoryTheory.EnrichedCats.EnrichmentTransformation UniMath.CategoryTheory.EnrichedCats.EnrichmentAdjunction UniMath.CategoryTheory.EnrichedCats.Examples.SelfEnriched UniMath.CategoryTheory.EnrichedCats.Examples.OppositeEnriched UniMath.CategoryTheory.EnrichedCats.Limits.EnrichedTerminal UniMath.CategoryTheory.EnrichedCats.Limits.EnrichedBinaryProducts UniMath.CategoryTheory.EnrichedCats.Limits.EnrichedPowers UniMath.CategoryTheory.EnrichedCats.Limits.Examples.SelfEnrichedLimits UniMath.CategoryTheory.EnrichedCats.Limits.Examples.OppositeEnrichedLimits UniMath.CategoryTheory.EnrichedCats.Colimits.EnrichedInitial UniMath.CategoryTheory.EnrichedCats.Colimits.EnrichedBinaryCoproducts UniMath.CategoryTheory.EnrichedCats.Colimits.EnrichedCopowers UniMath.CategoryTheory.EnrichedCats.Colimits.Examples.SelfEnrichedColimits UniMath.CategoryTheory.EnrichedCats.Colimits.Examples.OppositeEnrichedColimits UniMath.Semantics.EnrichedEffectCalculus.EECModel