Theorems · Definition · ring theory
AddMonoidAlgebra.lsingle
{R : Type u_1} →
{S : Type u_2} →
{M : Type u_3} →
[inst : Semiring S] → [inst_1 : Semiring R] → [inst_2 : Module R S] → M → S →ₗ[R] AddMonoidAlgebra S MA copy of Finsupp.lsingle for AddMonoidAlgebra.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- LinearMap.compproof · cited by 1,642
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- AddMonoidAlgebrastatement · cited by 649
- Finsupp.lsingleproof · cited by 75
- AddMonoidAlgebra.coeffLinearEquivproof · cited by 15
Cited by15
Results whose statement or proof uses this declaration.
- MvPolynomial.monomialproof · cited by 253
- AddMonoidAlgebra.isGroupLikeElem_single_oneproof · cited by 5
- AddMonoidAlgebra.comul_singlestatement and proof · cited by 4
- MvPolynomial.tensorEquivSum_one_tmul_Xproof · cited by 3
- AddMonoidAlgebra.antipode_singleproof · cited by 3
- AddMonoidAlgebra.lhom_ext'statement and proof · cited by 2
- MvPolynomial.tensorEquivSum_X_tmul_Xproof · cited by 2
- LaurentPolynomial.comul_C_mul_Tstatement and proof · cited by 1
- AddMonoidAlgebra.mem_grade_iff'statement and proof · cited by 1
- AddMonoidAlgebra.grade_eq_lsingle_rangestatement · cited by 0
- AddMonoidAlgebra.lhom_ext'_iffstatement and proof · cited by 0
- MvPolynomial.tensorEquivSum_C_tmul_Cproof · cited by 0