Theorems · Theorem · commutative algebra
KaehlerDifferential.mulActionBaseChange_smul_add
∀ (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] (a : A) (x y : TensorProduct R S Ω[A⁄R]), a • (x + y) = a • x + a • y
- Defined in
- Mathlib.RingTheory.Kaehler.TensorProduct
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- TensorProductstatement and proof · cited by 2,545
- LinearEquiv.symmproof · cited by 1,461
- map_addproof · cited by 964
- smul_addproof · cited by 263
- KaehlerDifferentialstatement and proof · cited by 204
- TensorProduct.commproof · cited by 108
- SMulCommClass.of_commMonoidstatement · cited by 42
- KaehlerDifferential.mulActionBaseChangestatement · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.