Mathlib Map

Theorems · Definition · ring theory

SkewMonoidAlgebra.comapSMul

{G : Type u_2} →
  {M : Type u_6} →
    {α : Type u_7} → [inst : Monoid G] → [inst_1 : AddCommMonoid M] → [MulAction G α] → SMul G (SkewMonoidAlgebra M α)

Scalar multiplication acting on the domain. This is not an instance as it would conflict with the action on the range. See the file MathlibTest/instance_diamonds.lean for examples of such conflicts.

Defined in
Mathlib.Algebra.SkewMonoidAlgebra.Basic
Cited by
2 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidAddCommMonoidMulAction
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SkewMonoidAlgebra.comapSMul_def · cited by 0SkewMonoidAlgebra.comapSM…SkewMonoidAlgebra.comapSMul_single · cited by 0SkewMonoidAlgebra.comapSM…DFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidMonoid · cited by 3887MonoidMulAction · cited by 1294MulActionSkewMonoidAlgebra · cited by 216SkewMonoidAlgebraSkewMonoidAlgebra.mapDomain · cited by 12SkewMonoidAlgebra.mapDoma…SkewMonoidAlgebra.comapSMulCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.