Theorems · Definition · category theory

CategoryTheory.StrictlyUnitaryPseudofunctor.toStrictlyUnitaryLaxFunctor

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

By forgetting the inverse to mapComp, a StrictlyUnitaryPseudofunctor is a StrictlyUnitaryLaxFunctor.

Defined in: Mathlib.CategoryTheory.Bicategory.Functor.StrictlyUnitary
Cited by: 5 results in Mathlib
Foundations: Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory CategoryTheory.Bicategory

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

Cites6

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.LaxFunctorproof · cited by 201
CategoryTheory.StrictlyUnitaryPseudofunctor.toPseudofunctorproof · cited by 103
CategoryTheory.StrictlyUnitaryPseudofunctorstatement and proof · cited by 20
CategoryTheory.StrictlyUnitaryLaxFunctorstatement · cited by 17
CategoryTheory.Pseudofunctor.toLaxproof · cited by 7

Cited by5

Results whose statement or proof uses this declaration.

CategoryTheory.StrictlyUnitaryPseudofunctor.toStrictlyUnitaryLaxFunctor_mapCompstatement · cited by 0
CategoryTheory.StrictlyUnitaryPseudofunctor.toStrictlyUnitaryLaxFunctor_mapIdstatement · cited by 0
CategoryTheory.StrictlyUnitaryPseudofunctor.toStrictlyUnitaryLaxFunctor_map₂statement · cited by 0
CategoryTheory.StrictlyUnitaryPseudofunctor.toStrictlyUnitaryLaxFunctor_objstatement · cited by 0
CategoryTheory.StrictlyUnitaryPseudofunctor.toStrictlyUnitaryLaxFunctor_mapstatement · cited by 0