Theorems · Theorem · category theory
CategoryTheory.MonoidalCategory.whiskerRight_iff
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {X Y : C}
(f g : X ⟶ Y),
CategoryTheory.MonoidalCategoryStruct.whiskerRight f (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) =
CategoryTheory.MonoidalCategoryStruct.whiskerRight g (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) ↔
f = g- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 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.Iso.homproof · cited by 7,684
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.MonoidalCategoryStruct.whiskerRightstatement · cited by 903
- CategoryTheory.MonoidalCategoryStruct.rightUnitorproof · cited by 397
- CategoryTheory.MonoidalCategory.whiskerRight_idproof · cited by 38
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.whiskerLeft_rightUnitorproof · cited by 12
- CategoryTheory.braiding_leftUnitorproof · cited by 2