fact: Definition Comonad_laws_pointfree : UU := ( (nat_trans_comp _ _ _ δ (pre_whisker T0 ε) = identity(C:=EndC) T0) × (nat_trans_comp _ _ _ δ (post_whisker ε T0) = identity(C:=EndC) T0) ) × (nat_trans_comp _ _ _ δ (post_whisker δ T0) = nat_trans_comp _ _ _ δ (pre_whisker T0 δ)).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Notations UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.SIP UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.Core.Univalence