Theorems · Theorem · category theory

CategoryTheory.Limits.HasBinaryBiproduct.exists_binary_biproduct

∀ {C : Type uC} {inst : CategoryTheory.Category.{uC', uC} C} {inst_1 : CategoryTheory.Limits.HasZeroMorphisms C}
  {P Q : C} [self : CategoryTheory.Limits.HasBinaryBiproduct P Q],
  Nonempty (CategoryTheory.Limits.BinaryBiproductData P Q)

HasBinaryBiproduct P Q expresses the mere existence of a bicone which is simultaneously a limit and a colimit of the diagram pair P Q.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts

Cited by

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Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.Limits.HasBinaryBiproduct