Theorems · Definition · category theory

CategoryTheory.Limits.biprod.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] → X ⊞ Y ⟶ X

The projection onto the first summand of a binary biproduct.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts

Cited by

121 results in Mathlib

Foundations

Depth 7 from the axioms, rests on 18 definitions · uses Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproduct