Theorems · Definition · commutative algebra
CommRingCat.coproductCoconeIsColimit
(A B : CommRingCat) → CategoryTheory.Limits.IsColimit (A.coproductCocone B)
The tensor product A ⊗[ℤ] B is a coproduct for A and B.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- CategoryTheory.Discretestatement · cited by 2,447
- CommRingCatstatement and proof · cited by 2,333
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CommRingCat.carrierproof · cited by 1,096
- CategoryTheory.Limits.IsColimitstatement · cited by 773
- CategoryTheory.Limits.pairstatement and proof · cited by 536
- AlgHom.toRingHomproof · cited by 490
- CommRingCat.Hom.homproof · cited by 432
- CommRingCat.ofHomproof · cited by 259
- CategoryTheory.Limits.BinaryCofanproof · cited by 58
- CategoryTheory.Limits.BinaryCofan.inrproof · cited by 51
Cited by2
Results whose statement or proof uses this declaration.
- CommRingCat.coproductColimitCoconeproof · cited by 0
- CommRingCat.coproductCoconeIsColimit_descstatement and proof · cited by 0