Theorems · Theorem · commutative algebra
Algebra.Generators.toKaehler_tmul_D
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {ι : Type w}
{P : Algebra.Generators R S ι} (i : ι),
P.toExtension.toKaehler (1 ⊗ₜ[P.toExtension.Ring] (KaehlerDifferential.D R P.Ring) (MvPolynomial.X i)) =
(KaehlerDifferential.D R S) (P.val i)- 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.
Cites23
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 · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- Finsuppstatement · cited by 5,255
- one_smulproof · cited by 1,374
- TensorProduct.tmulstatement · cited by 1,182
- MvPolynomial.Xstatement and proof · cited by 552
- Derivationstatement · cited by 293
- KaehlerDifferentialstatement · cited by 204
- Algebra.Extension.Ringstatement and proof · cited by 179
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.Generators.toKaehler_cotangentSpaceBasisproof · cited by 6