Theorems · Theorem · category theory

CategoryTheory.Limits.limitBiconeOfUnique_isBilimit_isLimit

∀ {J : Type w} {C : Type u} [inst : CategoryTheory.Category.{v, u} C]
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_2 : Unique J] (f : J → C),
  (CategoryTheory.Limits.limitBiconeOfUnique f).isBilimit.isLimit = (CategoryTheory.Limits.limitConeOfUnique f).isLimit

Defined in: Mathlib.CategoryTheory.Limits.Shapes.Biproducts
Cited by: 0 results in Mathlib
Foundations: Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasZeroMorphisms Unique

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
CategoryTheory.Discretestatement · cited by 2,447
CategoryTheory.eqToHomstatement · cited by 860
CategoryTheory.Limits.IsLimitstatement · cited by 664
CategoryTheory.Discrete.functorstatement · cited by 633
Uniquestatement and proof · cited by 400
CategoryTheory.Limits.LimitCone.conestatement · cited by 72
CategoryTheory.Limits.LimitCone.isLimitstatement · cited by 58
CategoryTheory.Limits.Bicone.IsBilimit.isLimitstatement and proof · cited by 9
CategoryTheory.Limits.limitBiconeOfUniquestatement and proof · cited by 7
CategoryTheory.Limits.limitConeOfUniquestatement · cited by 4

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