Theorems · Definition · category theory
AlgCat.intEquivalence
AlgCat ℤ ≌ RingCat
The equivalence of categories of ℤ-algebras and rings.
- Defined in
- Mathlib.Algebra.Category.AlgCat.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Equivalencestatement · cited by 601
- RingCatstatement and proof · cited by 473
- RingCat.carrierproof · cited by 279
- CategoryTheory.forget₂proof · cited by 260
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- RingCat.Hom.homproof · cited by 85
- AlgCatstatement and proof · cited by 75
- AlgCat.ofproof · cited by 23
- AlgCat.ofHomproof · cited by 16
Cited by5
Results whose statement or proof uses this declaration.
- AlgCat.intEquivalence_counitIsostatement and proof · cited by 0
- AlgCat.intEquivalence_functorstatement and proof · cited by 0
- AlgCat.intEquivalence_inverse_map_homstatement and proof · cited by 0
- AlgCat.intEquivalence_inverse_objstatement and proof · cited by 0
- AlgCat.intEquivalence_unitIso_hom_app_hom_applystatement and proof · cited by 0