Theorems · Theorem · commutative algebra
Derivation.liftKaehlerDifferential_comp
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {M : Type u_1}
[inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : Module S M] [inst_6 : IsScalarTower R S M]
(D : Derivation R S M), D.liftKaehlerDifferential.compDer (KaehlerDifferential.D R S) = D- Defined in
- Mathlib.RingTheory.Kaehler.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Algebrastatement and proof · cited by 11,388
- LinearMapstatement · cited by 10,215
- IsScalarTowerstatement and proof · cited by 3,896
- TensorProductproof · cited by 2,545
- one_smulproof · cited by 1,374
- TensorProduct.tmulproof · cited by 1,182
- sub_zeroproof · cited by 938
Cited by7
Results whose statement or proof uses this declaration.
- Derivation.liftKaehlerDifferential_comp_Dproof · cited by 7
- KaehlerDifferential.linearMapEquivDerivationproof · cited by 3
- Derivation.liftKaehlerDifferential_Dproof · cited by 1
- KaehlerDifferential.polynomialEquiv_comp_Dproof · cited by 1
- KaehlerDifferential.mvPolynomialBasis_repr_comp_Dproof · cited by 1
- KaehlerDifferential.map_compDerproof · cited by 1
- KaehlerDifferential.quotKerTotalEquiv_symm_comp_Dproof · cited by 0