Theorems · Theorem · commutative algebra
KaehlerDifferential.D_tensorProductTo
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(x : ↥(KaehlerDifferential.ideal R S)),
(KaehlerDifferential.D R S).tensorProductTo ↑x = (KaehlerDifferential.ideal R S).toCotangent x- Defined in
- Mathlib.RingTheory.Kaehler.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 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.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement and proof · cited by 10,215
- Idealstatement · cited by 4,748
- TensorProductstatement and proof · cited by 2,545
- LinearMap.idproof · cited by 625
- KaehlerDifferentialstatement and proof · cited by 204
- KaehlerDifferential.Dstatement and proof · cited by 92
- Ideal.Cotangentstatement · cited by 68
- Ideal.toCotangentstatement and proof · cited by 45
Cited by1
Results whose statement or proof uses this declaration.
- KaehlerDifferential.tensorProductTo_surjectiveproof · cited by 3