Theorems · Definition · category theory
CategoryTheory.AddMonObj.ofIso
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
{M X : C} → [CategoryTheory.AddMonObj M] → (M ≅ X) → CategoryTheory.AddMonObj XTransfer AddMonObj along an isomorphism.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorHomproof · cited by 587
- CategoryTheory.AddMonObjstatement and proof · cited by 158
- CategoryTheory.AddMonObj.addproof · cited by 134
- CategoryTheory.AddMonObj.zeroproof · cited by 100
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrpObj.ofIsoproof · cited by 4
- CategoryTheory.AddMonObj.ofIso_addstatement · cited by 2
- CategoryTheory.AddMonObj.ofIso_zerostatement · cited by 2
- CategoryTheory.Functor.essImage_mapAddMonproof · cited by 0