fact: Definition pred_mor_is_mor_preserves_cartesian : UU := ∏ (e₁ e₂ b₁ b₂ : B) (p₁ : e₁ --> b₁) (p₂ : e₂ --> b₂) (fe : e₁ --> e₂), (pred_mor D p₁ p₂ fe → mor_preserves_cartesian p₁ p₂ fe) × (mor_preserves_cartesian p₁ p₂ fe → pred_mor D p₁ p₂ fe).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Morphisms.FullyFaithful UniMath.Bicategories.Morphisms.DiscreteMorphisms UniMath.Bicategories.Morphisms.InternalStreetFibration UniMath.Bicategories.Morphisms.InternalStreetOpFibration UniMath.Bicategories.Morphisms.Properties.ContainsAdjEquiv UniMath.Bicategories.Morphisms.Properties.Composition UniMath.Bicategories.Morphisms.Properties.ClosedUnderPullback UniMath.Bicategories.Morphisms.Properties.FromInitial UniMath.Bicategories.Colimits.Initial UniMath.Bicategories.Limits.Pullbacks