Theorems · Definition · commutative algebra
Derivation.toLinearMap
{R : Type u_1} →
{A : Type u_2} →
{M : Type u_3} →
[inst : CommSemiring R] →
[inst_1 : CommSemiring A] →
[inst_2 : AddCommMonoid M] →
[inst_3 : Algebra R A] → [inst_4 : Module A M] → [inst_5 : Module R M] → Derivation R A M → A →ₗ[R] MThe LinearMap underlying a Derivation.
- Defined in
- Mathlib.RingTheory.Derivation.Basic
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Derivationstatement and proof · cited by 293
Cited by34
Results whose statement or proof uses this declaration.
- LinearMap.compDerproof · cited by 12
- Algebra.Generators.H1Cotangent.δAuxproof · cited by 10
- Derivation.tensorProductToproof · cited by 10
- Derivation.mapCoeffsproof · cited by 9
- Derivation.map_smulproof · cited by 9
- ModuleCat.Derivation.dproof · cited by 6
- Derivation.restrictScalarsproof · cited by 4
- PowerSeries.derivativeFunproof · cited by 4
- Derivation.compAlgebraMapproof · cited by 4
- KaehlerDifferential.derivationTensorProductproof · cited by 3
- liftOfDerivationToSquareZeroproof · cited by 2
- Derivation.leibniz'statement · cited by 2