Theorems · Theorem · category theory
CategoryTheory.LaxMonoidalFunctor.hom_ext
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
[inst_2 : CategoryTheory.Category.{v₂, u₂} D] [inst_3 : CategoryTheory.MonoidalCategory D]
{F G : CategoryTheory.LaxMonoidalFunctor C D} {α β : F ⟶ G}, α.hom = β.hom → α = β- Cited by
- 3 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.LaxMonoidalFunctorstatement and proof · cited by 96
- CategoryTheory.LaxMonoidalFunctor.toFunctorstatement and proof · cited by 63
- CategoryTheory.LaxMonoidalFunctor.Hom.homstatement and proof · cited by 39
- CategoryTheory.NatTrans.IsMonoidalproof · cited by 31
- CategoryTheory.LaxMonoidalFunctor.Hom.casesOnproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.LaxBraidedFunctor.hom_extproof · cited by 1
- TannakaDuality.FiniteGroup.toRightFDRepComp_injectiveproof · cited by 1
- CategoryTheory.LaxMonoidalFunctor.hom_ext_iffproof · cited by 0