Theorems · Theorem · category theory
CategoryTheory.MonoidalCategory.inv_whiskerRight
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {X Y : C}
(f : X ⟶ Y) (Z : C) [inst_2 : CategoryTheory.IsIso f],
CategoryTheory.inv (CategoryTheory.MonoidalCategoryStruct.whiskerRight f Z) =
CategoryTheory.MonoidalCategoryStruct.whiskerRight (CategoryTheory.inv f) Z- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.MonoidalCategoryStruct.whiskerRightstatement · cited by 903
- CategoryTheory.invstatement · cited by 467
- CategoryTheory.IsIso.inv_eq_of_hom_inv_idproof · cited by 24
- CategoryTheory.MonoidalCategory.hom_inv_whiskerRight'proof · cited by 2
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.leftUnitor_inv_whiskerRightproof · cited by 7
- CategoryTheory.MonoidalCategory.pentagon_invproof · cited by 4
- CategoryTheory.MonoidalCategory.pentagon_hom_hom_inv_inv_homproof · cited by 2
- CategoryTheory.BraidedCategory.braiding_tensor_left_invproof · cited by 2
- CategoryTheory.MonoidalCategory.pentagon_inv_hom_hom_hom_invproof · cited by 2
- CategoryTheory.BraidedCategory.braiding_tensor_right_invproof · cited by 2
- CategoryTheory.MonoidalCategory.pentagon_inv_inv_hom_inv_invproof · cited by 2
- CategoryTheory.MonoidalCategory.pentagon_hom_hom_inv_hom_homproof · cited by 1
- CategoryTheory.SymmetricCategory.tensorμ_braid_swapproof · cited by 1
- CategoryTheory.MonoidalCategory.inv_tensorproof · cited by 0