Theorems · Theorem · category theory

CategoryTheory.Limits.biprod.inl_fst

∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {X Y : C} [inst_2 : CategoryTheory.Limits.HasBinaryBiproduct X Y],
  CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.biprod.inl CategoryTheory.Limits.biprod.fst =
    CategoryTheory.CategoryStruct.id X

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts

Cited by

5 results in Mathlib

Foundations

Depth 8 from the axioms · uses Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproduct