Theorems · Theorem · category theory
CategoryTheory.GrpObj.ofIso_inv
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{G X : C} [inst_2 : CategoryTheory.GrpObj G] (e : G ≅ X),
CategoryTheory.GrpObj.inv =
CategoryTheory.CategoryStruct.comp e.inv (CategoryTheory.CategoryStruct.comp CategoryTheory.GrpObj.inv e.hom)- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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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 · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.GrpObjstatement and proof · cited by 99
- CategoryTheory.GrpObj.invstatement and proof · cited by 50
- CategoryTheory.GrpObj.ofIsostatement · cited by 4
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