Theorems · Definition · commutative algebra
CommRingCat.mkUnder
(R : CommRingCat) → (A : Type u) → [inst : CommRing A] → [Algebra (↑R) A] → CategoryTheory.Under R
Make an object of Under R from an R-algebra.
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Algebra.algebraMapproof · cited by 4,706
- CommRingCatstatement and proof · cited by 2,333
- CommRingCat.carrierstatement and proof · cited by 1,096
- CategoryTheory.Understatement · cited by 276
- CommRingCat.ofHomproof · cited by 259
- CategoryTheory.Under.mkproof · cited by 65
Cited by35
Results whose statement or proof uses this declaration.
- AlgHom.toUnderstatement · cited by 10
- commAlgCatEquivUnderproof · cited by 9
- CommRingCat.tensorProdproof · cited by 7
- CommRingCat.tensorProdObjIsoPushoutObjstatement · cited by 5
- AlgEquiv.toUnderstatement · cited by 3
- CommRingCat.mkUnder_extstatement and proof · cited by 2
- CommRingCat.Under.equalizerFork'statement · cited by 1
- CommRingCat.Under.equalizer_compstatement · cited by 1
- CommRingCat.pushout_inl_tensorProdObjIsoPushoutObj_inv_rightstatement · cited by 1
- CommRingCat.pushout_inr_tensorProdObjIsoPushoutObj_inv_rightstatement · cited by 1
- CommRingCat.Under.equalizerFork'IsLimitstatement · cited by 0