Theorems · Inductive type · category theory

CategoryTheory.NatTrans

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        CategoryTheory.Functor C D → CategoryTheory.Functor C D → Type (max u₁ v₂)

NatTrans F G represents a natural transformation between functors F and G. The field app provides the components of the natural transformation. Naturality is expressed by α.naturality.

Defined in

Mathlib.CategoryTheory.NatTrans

Cited by

82 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category