fact: Definition lan_nat_trans_data_cocone_forms_cocone {x : C₂} {w₁ w₂ : C₁} {h₁ : P w₁ --> x} {h₂ : P w₂ --> x} {e : w₁ --> w₂} (p : h₁ · identity _ = #P e · h₂) : # F e · lan_nat_trans_data_cocone_ob x w₂ h₂ = lan_nat_trans_data_cocone_ob x w₁ h₁.
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.Limits.Graphs.Colimits UniMath.CategoryTheory.Categories.StandardCategories UniMath.CategoryTheory.CommaCategories UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering