Theorems · Theorem · category theory
CategoryTheory.MonoidalCategory.unitors_equal
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.MonoidalCategory C],
(CategoryTheory.MonoidalCategoryStruct.leftUnitor (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)).hom =
(CategoryTheory.MonoidalCategoryStruct.rightUnitor (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)).hom- Cited by
- 4 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 · cited by 32,603
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.MonoidalCategoryStruct.associatorproof · cited by 667
- CategoryTheory.Iso.transproof · cited by 566
- CategoryTheory.MonoidalCategoryStruct.leftUnitorstatement · cited by 437
- CategoryTheory.MonoidalCategoryStruct.rightUnitorstatement and proof · cited by 397
- CategoryTheory.MonoidalCategory.whiskerRightIsoproof · cited by 52
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMonObj.extproof · cited by 3
- CategoryTheory.HopfObj.antipode_counitproof · cited by 1
- CategoryTheory.AddMonObj.zero_rightUnitorproof · cited by 0
- CategoryTheory.MonoidalClosed.curry'_compproof · cited by 0