Theorems · Definition · category theory
CategoryTheory.BasedNatTrans.toNatTrans
{𝒮 : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} 𝒮] →
{𝒳 : CategoryTheory.BasedCategory 𝒮} →
{𝒴 : CategoryTheory.BasedCategory 𝒮} →
{F G : CategoryTheory.BasedFunctor 𝒳 𝒴} →
CategoryTheory.BasedNatTrans F G → CategoryTheory.NatTrans F.toFunctor G.toFunctor- Cited by
- 12 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.NatTransstatement · cited by 82
- CategoryTheory.BasedCategorystatement and proof · cited by 38
- CategoryTheory.BasedFunctorstatement and proof · cited by 34
- CategoryTheory.BasedCategory.objstatement · cited by 26
- CategoryTheory.BasedFunctor.toFunctorstatement · cited by 23
- CategoryTheory.BasedNatTransstatement and proof · cited by 11
Cited by16
Results whose statement or proof uses this declaration.
- CategoryTheory.BasedNatTrans.forgetfulproof · cited by 3
- CategoryTheory.BasedNatTrans.compproof · cited by 2
- CategoryTheory.BasedNatTrans.extstatement and proof · cited by 2
- CategoryTheory.BasedCategory.whiskerLeftproof · cited by 1
- CategoryTheory.BasedCategory.whiskerRightproof · cited by 1
- CategoryTheory.BasedNatTrans.homCategory.extstatement and proof · cited by 1
- CategoryTheory.BasedNatTrans.ext_iffstatement and proof · cited by 0
- CategoryTheory.BasedNatTrans.forgetful_mapstatement · cited by 0
- CategoryTheory.BasedNatTrans.id_toNatTransstatement and proof · cited by 0
- CategoryTheory.BasedNatTrans.isHomLiftstatement · cited by 0
- CategoryTheory.BasedNatTrans.isHomLift'statement · cited by 0
- CategoryTheory.BasedCategory.whiskerLeft_toNatTransstatement and proof · cited by 0