Theorems · Definition · category theory

CategoryTheory.Limits.prodComparisonNatTrans

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{w, u₂} D] →
        [inst_2 : CategoryTheory.Limits.HasBinaryProducts C] →
          [inst_3 : CategoryTheory.Limits.HasBinaryProducts D] →
            (F : CategoryTheory.Functor C D) →
              (A : C) →
                (CategoryTheory.Limits.prod.functor.obj A).comp F ⟶
                  F.comp (CategoryTheory.Limits.prod.functor.obj (F.obj A))

The product comparison morphism from F(A ⨯ -) to FA ⨯ F-, whose components are given by prodComparison.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

3 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProductsCategoryTheory.Limits.HasBinaryProducts