Theorems · Definition · category theory
CategoryTheory.GrpObj.ofIso
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
{G X : C} → [CategoryTheory.GrpObj G] → (G ≅ X) → CategoryTheory.GrpObj XTransfer GrpObj along an isomorphism.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonObjproof · cited by 199
- CategoryTheory.GrpObjstatement and proof · cited by 99
- CategoryTheory.GrpObj.invproof · cited by 50
- CategoryTheory.MonObj.ofIsoproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.GrpObj.ofIso_onestatement · cited by 0
- CategoryTheory.Functor.essImage_mapGrpproof · cited by 0
- CategoryTheory.GrpObj.ofIso_invstatement · cited by 0
- CategoryTheory.GrpObj.ofIso_mulstatement · cited by 0