fact: Definition transportf_struct_mor_prod {X₁ X₂ X₃ Y₁ Y₂ Y₃ : hSet} (w₁ : X₁ ≃ Y₁) (PX₁ : P X₁) (w₂ : X₂ ≃ Y₂) (PX₂ : P X₂) (w₃ : X₃ ≃ Y₃) (PX₃ : P X₃) (f : X₁ × X₂ → X₃) (Hf : mor_hset_struct P (hset_struct_prod P PX₁ PX₂) PX₃ f) : mor_hset_struct P (hset_struct_prod P (transportf_struct_weq P w₁ PX₁) (transportf_struct_weq P w₂ PX₂)) (transportf_struct_weq P w₃ PX₃) (transportf_mor_weq_prod w₁ w₂ w₃ f).
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Categories.HSET.All UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.SIP UniMath.CategoryTheory.DisplayedCats.Binproducts