fact: Definition twosided_opcartesian_factorisation_commutes {x₁ x₂ : C₁} {y₁ y₂ : C₂} {xy₁ : D x₁ y₁} {xy₂ : D x₂ y₂} {f : x₁ --> x₂} {g : y₁ --> y₂} {fg : xy₁ -->[ f ][ g ] xy₂} (H : twosided_opcartesian fg) {x₃ : C₁} {y₃ : C₂} {xy₃ : D x₃ y₃} {f' : x₂ --> x₃} {g' : y₂ --> y₃} (fg' : xy₁ -->[ f · f' ][ g · g' ] xy₃) : fg ;;2 twosided_opcartesian_factorisation H fg' = fg' := pr21 (H _ _ _ _ _ fg').
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete