Theorems · Definition · category theory

CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.unitIso

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      CategoryTheory.Functor.id (CategoryTheory.LaxMonoidalFunctor (CategoryTheory.Discrete PUnit.{w + 1}) C) ≅
        (CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToMon C).comp
          (CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal C)

Implementation of Mon.equivLaxMonoidalFunctorPUnit.

Defined in: Mathlib.CategoryTheory.Monoidal.Mon
Cited by: 2 results in Mathlib
Foundations: Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites16

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.Functorstatement · cited by 16,252
CategoryTheory.Functor.compstatement · cited by 6,529
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.Functor.idstatement · cited by 3,333
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.Discretestatement and proof · cited by 2,447
CategoryTheory.Monstatement · cited by 465
CategoryTheory.Functor.mapIsoproof · cited by 224
CategoryTheory.NatIso.ofComponentsproof · cited by 178
CategoryTheory.eqToIsoproof · cited by 97
CategoryTheory.LaxMonoidalFunctorstatement and proof · cited by 96

Cited by3

Results whose statement or proof uses this declaration.

CategoryTheory.Mon.equivLaxMonoidalFunctorPUnitproof · cited by 13
CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.unitIso_inv_app_hom_appstatement · cited by 0
CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.unitIso_hom_app_hom_appstatement · cited by 0