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Theorems · Definition · category theory

CategoryTheory.NatTrans.vcomp

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {F G H : CategoryTheory.Functor C D} →
          CategoryTheory.NatTrans F G → CategoryTheory.NatTrans G H → CategoryTheory.NatTrans F H

vcomp α β is the vertical compositions of natural transformations.

Defined in
Mathlib.CategoryTheory.NatTrans
Cited by
3 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.BasedNatTrans.comp · cited by 2BasedNatTrans.compCategoryTheory.NatTrans.vcomp_eq_comp · cited by 0NatTrans.vcomp_eq_compCategoryTheory.BasedNatTrans.comp_toNatTrans · cited by 0BasedNatTrans.comp_toNatT…CategoryTheory.NatTrans.vcomp_app · cited by 0NatTrans.vcomp_appCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.NatTrans · cited by 82CategoryTheory.NatTransNatTrans.vcompCITED BYCITES

Cites5

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Cited by4

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