Theorems · Theorem · category theory
CategoryTheory.CartesianMonoidalCategory.leftUnitor_inv_snd
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] (X : C),
CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.leftUnitor X).inv
(CategoryTheory.SemiCartesianMonoidalCategory.snd (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) X) =
CategoryTheory.CategoryStruct.id X- Cited by
- 5 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonoidalCategoryStruct.whiskerRightproof · cited by 903
- CategoryTheory.MonoidalCategoryStruct.leftUnitorstatement and proof · cited by 437
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.CartesianMonoidalCategory.lift_leftUnitor_homproof · cited by 3
- CategoryTheory.ChosenPullbacksAlong.Over.leftUnitor_inv_left_sndproof · cited by 1
- CategoryTheory.comul_eq_liftproof · cited by 0
- CategoryTheory.CartesianMonoidalCategory.leftUnitor_inv_snd_assocproof · cited by 0