Theorems · Theorem · ring theory
SkewMonoidAlgebra.of_apply
∀ (k : Type u_1) (G : Type u_2) [inst : Semiring k] [inst_1 : Monoid G] [inst_2 : MulSemiringAction G k] (a : G), (SkewMonoidAlgebra.of k G) a = SkewMonoidAlgebra.single a 1
- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- MulSemiringActionstatement and proof · cited by 423
- SkewMonoidAlgebrastatement · cited by 216
- SkewMonoidAlgebra.singlestatement and proof · cited by 83
- SkewMonoidAlgebra.ofstatement · cited by 15
Cited by7
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.lift_ofproof · cited by 0
- SkewMonoidAlgebra.smul_ofproof · cited by 0
- SkewMonoidAlgebra.lift_uniqueproof · cited by 0
- SkewMonoidAlgebra.mem_span_supportproof · cited by 0
- SkewMonoidAlgebra.single_algebraMap_eq_algebraMap_mul_ofproof · cited by 0
- SkewMonoidAlgebra.single_eq_algebraMap_mul_ofproof · cited by 0
- SkewMonoidAlgebra.of_injectiveproof · cited by 0