Theorems · Definition · commutative algebra
CommRingCat.KaehlerDifferential
{A B : CommRingCat} → (A ⟶ B) → ModuleCat ↑BThe module of differentials of a morphism f : A ⟶ B in the category CommRingCat.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CommRingCatstatement and proof · cited by 2,333
- ModuleCatstatement · cited by 1,429
- CommRingCat.carrierstatement and proof · cited by 1,096
- ModuleCat.ofproof · cited by 594
- KaehlerDifferentialproof · cited by 204
Cited by13
Results whose statement or proof uses this declaration.
- CommRingCat.KaehlerDifferential.dstatement · cited by 5
- CommRingCat.KaehlerDifferential.mapstatement · cited by 3
- PresheafOfModules.DifferentialsConstruction.relativeDifferentials'proof · cited by 3
- CommRingCat.KaehlerDifferential.extstatement and proof · cited by 1
- CommRingCat.KaehlerDifferential.map_dstatement · cited by 1
- ModuleCat.Derivation.descstatement · cited by 1
- CommRingCat.KaehlerDifferential.map.congr_simpstatement · cited by 0
- CommRingCat.KaehlerDifferential.Dstatement · cited by 0
- CommRingCat.KaehlerDifferential.ext_iffstatement and proof · cited by 0
- ModuleCat.Derivation.desc_dstatement · cited by 0
- PresheafOfModules.DifferentialsConstruction.relativeDifferentials'_mapstatement · cited by 0
- PresheafOfModules.DifferentialsConstruction.relativeDifferentials'_map_dstatement · cited by 0