Theorems · Theorem · category theory
CategoryTheory.Grp.ofHom_hom_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{A B : C} [inst_2 : CategoryTheory.GrpObj A] [inst_3 : CategoryTheory.GrpObj B] (f : A ⟶ B)
[inst_4 : CategoryTheory.IsMonHom f], (CategoryTheory.Grp.ofHom f).hom.hom = f- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites11
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.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homstatement and proof · cited by 850
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Mon.Hom.homstatement and proof · cited by 200
- CategoryTheory.Grpstatement · cited by 144
- CategoryTheory.GrpObjstatement and proof · cited by 99
- CategoryTheory.Grp.toMonstatement · cited by 80
- CategoryTheory.IsMonHomstatement and proof · cited by 56
- CategoryTheory.Grp.ofHomstatement and proof · cited by 1
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