Theorems · Definition · category theory
CategoryTheory.NatTrans.id
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] → (F : CategoryTheory.Functor C D) → CategoryTheory.NatTrans F FNatTrans.id F is the identity natural transformation on a functor F.
- Defined in
- Mathlib.CategoryTheory.NatTrans
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.NatTransstatement · cited by 82
Cited by15
Results whose statement or proof uses this declaration.
- CategoryTheory.BasedNatTrans.idproof · cited by 2
- CategoryTheory.Adjunction.CoreUnitCounit.mk.injstatement and proof · cited by 1
- CategoryTheory.Adjunction.CoreUnitCounit.mk.noConfusionstatement and proof · cited by 1
- CategoryTheory.BasedNatTrans.id_toNatTransstatement · cited by 0
- CategoryTheory.NatTrans.id_app'statement · cited by 0
- CategoryTheory.Adjunction.CoreUnitCounit.casesOnstatement and proof · cited by 0
- CategoryTheory.Adjunction.CoreUnitCounit.left_trianglestatement · cited by 0
- CategoryTheory.Adjunction.CoreUnitCounit.noConfusionproof · cited by 0
- CategoryTheory.Adjunction.CoreUnitCounit.noConfusionTypeproof · cited by 0
- CategoryTheory.Adjunction.CoreUnitCounit.recOnstatement and proof · cited by 0
- CategoryTheory.Adjunction.CoreUnitCounit.right_trianglestatement · cited by 0
- CategoryTheory.Functor.whiskerLeft_idstatement · cited by 0