Theorems · Definition · category theory
commGrpTypeEquivalenceCommGrp
CategoryTheory.CommGrp (Type u) ≌ CommGrpCat
The category of commutative group objects in Type u is equivalent to the category of
commutative groups.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- Equivproof · cited by 8,337
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Functor.idproof · cited by 3,333
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Equivalencestatement · cited by 601
- Equiv.reflproof · cited by 274
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.CommGrpstatement and proof · cited by 74
- CommGrpCatstatement and proof · cited by 74
- CommGrpCat.carrierproof · cited by 59
- CommGrpTypeEquivalenceCommGrp.inverseproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- AddCommGrpCat.leftExactFunctorForgetEquivalence.inverseAuxproof · cited by 1
- AddCommGrpCat.leftExactFunctorForgetEquivalence.unitIsoproof · cited by 0
- AddCommGrpCat.leftExactFunctorForgetEquivalence.unitIsoAuxstatement · cited by 0