Theorems · Theorem · category theory
CategoryTheory.MonObj.lift_comp_one_right
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{A B : C} [inst_2 : CategoryTheory.MonObj B] (f : A ⟶ B) (g : A ⟶ CategoryTheory.MonoidalCategoryStruct.tensorUnit C),
CategoryTheory.CategoryStruct.comp
(CategoryTheory.CartesianMonoidalCategory.lift f (CategoryTheory.CategoryStruct.comp g CategoryTheory.MonObj.one))
CategoryTheory.MonObj.mul =
f- Cited by
- 5 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.compstatement and proof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftproof · cited by 915
- CategoryTheory.MonoidalCategoryStruct.rightUnitorproof · cited by 397
- CategoryTheory.MonObj.mulstatement and proof · cited by 230
- CategoryTheory.MonObjstatement and proof · cited by 199
- CategoryTheory.MonObj.onestatement and proof · cited by 189
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.GrpObj.eq_lift_inv_rightproof · cited by 3
- CategoryTheory.GrpObj.lift_left_mul_extproof · cited by 3
- CategoryTheory.GrpObj.isPullbackproof · cited by 1
- CategoryTheory.GrpObj.mulRight_oneproof · cited by 0
- CategoryTheory.MonObj.lift_comp_one_right_assocproof · cited by 0