Theorems · Definition · category theory
CategoryTheory.Mon.X
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] → [inst_1 : CategoryTheory.MonoidalCategory C] → CategoryTheory.Mon C → CThe underlying object in the ambient monoidal category
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 329 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 4 definitions · uses no axioms
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.Categorystatement and proof · cited by 32,673
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Monstatement and proof · cited by 465
Cited by400
Results whose statement or proof uses this declaration.
- CategoryTheory.Mon.Hom.homstatement · cited by 200
- Bimod.actLeftstatement · cited by 47
- Bimod.actRightstatement · cited by 47
- CategoryTheory.Functor.mapMonproof · cited by 38
- CategoryTheory.Mon.forgetproof · cited by 33
- Bimod.TensorBimod.Xproof · cited by 32
- CategoryTheory.Functor.mapCommMonproof · cited by 27
- Bimod.TensorBimod.actLeftstatement and proof · cited by 15
- Bimod.regularproof · cited by 14
- Bimod.TensorBimod.actRightstatement and proof · cited by 14
- MonObj.mopEquivproof · cited by 14
- CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functorproof · cited by 12
Showing the 200 most cited of 400.