Theorems · Theorem · commutative algebra
KaehlerDifferential.derivationQuotKerTotal_lift_comp_linearCombination
∀ (R : Type u) (S : Type v) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S],
(KaehlerDifferential.derivationQuotKerTotal R S).liftKaehlerDifferential ∘ₗ
Finsupp.linearCombination S ⇑(KaehlerDifferential.D R S) =
(KaehlerDifferential.kerTotal R S).mkQ- Defined in
- Mathlib.RingTheory.Kaehler.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- Submodulestatement · cited by 7,192
- Finsuppstatement and proof · cited by 5,255
- HasQuotient.Quotientstatement and proof · cited by 2,301
- LinearMap.compstatement and proof · cited by 1,642
- Finsupp.singleproof · cited by 943
- map_smulproof · cited by 566
- Derivationstatement · cited by 293
Cited by1
Results whose statement or proof uses this declaration.
- KaehlerDifferential.kerTotal_eqproof · cited by 1