Theorems · Theorem · commutative algebra

Derivation.restrictScalars_apply

∀ (R : Type u_1) {A : Type u_2} {M : Type u_4} [inst : CommSemiring R] [inst_1 : CommSemiring A]
  [inst_2 : AddCommMonoid M] [inst_3 : Algebra R A] [inst_4 : Module A M] [inst_5 : Module R M] {S : Type u_5}
  [inst_6 : CommSemiring S] [inst_7 : Algebra S A] [inst_8 : Module S M] [inst_9 : LinearMap.CompatibleSMul A M R S]
  (d : Derivation S A M) (x : A), (Derivation.restrictScalars R d) x = d x

Defined in

Mathlib.RingTheory.Derivation.Basic

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringAddCommMonoidAlgebraModuleModuleCommSemiringAlgebraModuleLinearMap.CompatibleSMul