Theorems · Theorem · commutative algebra
KaehlerDifferential.tensorKaehlerEquivOfFormallyEtale_apply
∀ (R : Type u_1) (S : Type u_2) (T : Type u_3) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T] [inst_3 : Algebra R S] [inst_4 : Algebra R T] [inst_5 : Algebra S T] [inst_6 : IsScalarTower R S T] [inst_7 : Algebra.FormallyEtale S T] (x : TensorProduct S T Ω[S⁄R]), (KaehlerDifferential.tensorKaehlerEquivOfFormallyEtale R S T) x = (KaehlerDifferential.mapBaseChange R S T) x
- Defined in
- Mathlib.RingTheory.Etale.Kaehler
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- IsScalarTowerstatement and proof · cited by 3,896
- LinearEquivstatement · cited by 3,317
- TensorProductstatement and proof · cited by 2,545
- KaehlerDifferentialstatement and proof · cited by 204
- Algebra.FormallyEtalestatement and proof · cited by 37
- KaehlerDifferential.mapBaseChangestatement · cited by 12
- KaehlerDifferential.tensorKaehlerEquivOfFormallyEtalestatement and proof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- KaehlerDifferential.isBaseChange_of_formallyEtaleproof · cited by 0
- KaehlerDifferential.tensorKaehlerEquivOfFormallyEtale_symm_D_algebraMapproof · cited by 0