Theorems · Definition · commutative algebra
KaehlerDifferential.mulActionBaseChange
(R : Type u_1) →
(S : Type u_2) →
(A : Type u_3) →
[inst : CommRing R] →
[inst_1 : CommRing S] →
[inst_2 : Algebra R S] →
[inst_3 : CommRing A] → [inst_4 : Algebra R A] → MulAction A (TensorProduct R S Ω[A⁄R])(Implementation). A-action on S ⊗[R] Ω[A⁄R].
- Defined in
- Mathlib.RingTheory.Kaehler.TensorProduct
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- TensorProductstatement · cited by 2,545
- MulActionstatement · cited by 1,294
- KaehlerDifferentialstatement and proof · cited by 204
- TensorProduct.commproof · cited by 108
- LinearEquiv.toEquivproof · cited by 105
- SMulCommClass.of_commMonoidstatement · cited by 42
- Equiv.mulActionproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- KaehlerDifferential.mulActionBaseChange_smul_tmulstatement · cited by 1
- KaehlerDifferential.mulActionBaseChange_smul_addstatement · cited by 0
- KaehlerDifferential.mulActionBaseChange_smul_zerostatement · cited by 0