Theorems · Definition · commutative algebra
KaehlerDifferential.DLinearMap
(R : Type u) → (S : Type v) → [inst : CommRing R] → [inst_1 : CommRing S] → [inst_2 : Algebra R S] → S →ₗ[R] Ω[S⁄R]
(Implementation) The underlying linear map of the derivation into Ω[S⁄R].
- Defined in
- Mathlib.RingTheory.Kaehler.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- LinearMap.compproof · cited by 1,642
- AlgHom.toLinearMapproof · cited by 254
- LinearMap.restrictScalarsproof · cited by 215
- KaehlerDifferentialstatement · cited by 204
- Submodule.restrictScalarsproof · cited by 180
- Algebra.TensorProduct.includeRightproof · cited by 165
- Algebra.TensorProduct.includeLeftproof · cited by 72
- LinearMap.codRestrictproof · cited by 61
Cited by2
Results whose statement or proof uses this declaration.
- KaehlerDifferential.Dproof · cited by 92
- KaehlerDifferential.DLinearMap_applystatement · cited by 1