Theorems · Theorem · ring theory
SkewMonoidAlgebra.lsingle_apply
∀ {R : Type u_3} {M : Type u_4} [inst : Semiring R] [inst_1 : AddCommMonoid M] {α : Type u_6} (a : α)
[inst_2 : Module R M] (m : M), (SkewMonoidAlgebra.lsingle R a) m = SkewMonoidAlgebra.single a m- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- SkewMonoidAlgebrastatement · cited by 216
- SkewMonoidAlgebra.singlestatement · cited by 83
- SkewMonoidAlgebra.lsinglestatement · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.