Theorems · Inductive type · category theory
CategoryTheory.MonoidalCategoryStruct
(C : Type u) → [𝒞 : CategoryTheory.Category.{v, u} C] → Type (max u v)Auxiliary structure to carry only the data fields of (and provide notation for)
MonoidalCategory.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
Cited by105
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftstatement and proof · cited by 915
- CategoryTheory.MonoidalCategoryStruct.whiskerRightstatement and proof · cited by 903
- CategoryTheory.MonoidalCategoryStruct.associatorstatement and proof · cited by 667
- CategoryTheory.MonoidalCategoryStruct.tensorHomstatement and proof · cited by 587
- CategoryTheory.MonoidalCategoryStruct.leftUnitorstatement and proof · cited by 437
- CategoryTheory.MonoidalCategoryStruct.rightUnitorstatement and proof · cited by 397
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObjstatement and proof · cited by 185
- CategoryTheory.MonoidalCategory.MonoidalRightActionStruct.actionObjstatement and proof · cited by 146
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomRightstatement and proof · cited by 83
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomLeftstatement and proof · cited by 68