Theorems · Definition · category theory

CategoryTheory.OplaxFunctor.toPrelaxFunctor

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] → CategoryTheory.OplaxFunctor B C → CategoryTheory.PrelaxFunctor B C

The underlying prelax functor.

Defined in: Mathlib.CategoryTheory.Bicategory.Functor.Oplax
Cited by: 246 results in Mathlib
Foundations: Depth 2 from the axioms, rests on 4 definitions · uses no axioms
Assumes: CategoryTheory.Bicategory CategoryTheory.Bicategory

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.OplaxFunctorstatement and proof · cited by 253
CategoryTheory.PrelaxFunctorstatement · cited by 48

Cited by319

Results whose statement or proof uses this declaration.

CategoryTheory.Oplax.OplaxTrans.appstatement · cited by 76
CategoryTheory.OplaxFunctor.mapCompstatement · cited by 73
CategoryTheory.Oplax.StrongTrans.appstatement · cited by 60
CategoryTheory.OplaxFunctor.mapIdstatement · cited by 52
CategoryTheory.Oplax.LaxTrans.appstatement · cited by 48
CategoryTheory.Oplax.StrongTrans.naturalitystatement · cited by 46
CategoryTheory.Oplax.OplaxTrans.naturalitystatement · cited by 38
CategoryTheory.Oplax.OplaxTrans.Modification.appstatement · cited by 34
CategoryTheory.Oplax.LaxTrans.Modification.appstatement · cited by 32
CategoryTheory.Oplax.LaxTrans.naturalitystatement · cited by 24
CategoryTheory.Oplax.StrongTrans.Modification.appstatement · cited by 20
CategoryTheory.OplaxFunctor.mapComp'statement and proof · cited by 7

Showing the 200 most cited of 319.