Theorems · Theorem · category theory

CategoryTheory.Limits.isBinaryBilimitOfPreserves.congr_simp

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_3 : CategoryTheory.Limits.HasZeroMorphisms D] {X Y : C}
  (F : CategoryTheory.Functor C D) [inst_4 : F.PreservesZeroMorphisms]
  [inst_5 : CategoryTheory.Limits.PreservesBinaryBiproduct X Y F] {b : CategoryTheory.Limits.BinaryBicone X Y}
  (hb hb_1 : b.IsBilimit),
  hb = hb_1 →
    CategoryTheory.Limits.isBinaryBilimitOfPreserves F hb = CategoryTheory.Limits.isBinaryBilimitOfPreserves F hb_1

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Shapes.Biproducts

Cited by

0 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Functor.PreservesZeroMorphismsCategoryTheory.Limits.PreservesBinaryBiproduct