Theorems · Theorem · category theory
CategoryTheory.GrpObj.lift_conj_eq_mul_mul_inv
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {X G : C}
[inst_2 : CategoryTheory.GrpObj G] (f₁ f₂ : X ⟶ G),
CategoryTheory.CategoryStruct.comp (CategoryTheory.CartesianMonoidalCategory.lift f₁ f₂)
(CategoryTheory.GrpObj.conj G) =
f₁ * f₂ * f₁⁻¹- Cited by
- 2 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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 · cited by 17,999
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.SemiCartesianMonoidalCategory.fstproof · cited by 184
- CategoryTheory.SemiCartesianMonoidalCategory.sndproof · cited by 181
- CategoryTheory.CartesianMonoidalCategory.liftstatement and proof · cited by 160
- CategoryTheory.GrpObjstatement and proof · cited by 99
- CategoryTheory.Hom.monoidstatement · cited by 52
- CategoryTheory.CartesianMonoidalCategory.lift_sndproof · cited by 37
- CategoryTheory.CartesianMonoidalCategory.lift_fstproof · cited by 36
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.GrpObj.lift_conj_eq_mul_mul_inv_assocproof · cited by 0
- CategoryTheory.IsMonHom.normal_iff_normal_monoidHomproof · cited by 0