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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 M

A 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
Assumes
SemiringSemiringModule

Around this declaration

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

MvPolynomial.monomial · cited by 253MvPolynomial.monomialAddMonoidAlgebra.isGroupLikeElem_single_one · cited by 5AddMonoidAlgebra.isGroupL…AddMonoidAlgebra.comul_single · cited by 4AddMonoidAlgebra.comul_si…MvPolynomial.tensorEquivSum_one_tmul_X · cited by 3MvPolynomial.tensorEquivS…AddMonoidAlgebra.antipode_single · cited by 3AddMonoidAlgebra.antipode…AddMonoidAlgebra.lhom_ext' · cited by 2AddMonoidAlgebra.lhom_ext'MvPolynomial.tensorEquivSum_X_tmul_X · cited by 2MvPolynomial.tensorEquivS…LaurentPolynomial.comul_C_mul_T · cited by 1LaurentPolynomial.comul_C…AddMonoidAlgebra.mem_grade_iff' · cited by 1AddMonoidAlgebra.mem_grad…AddMonoidAlgebra.grade_eq_lsingle_range · cited by 0AddMonoidAlgebra.grade_eq…AddMonoidAlgebra.lhom_ext'_iff · cited by 0AddMonoidAlgebra.lhom_ext…MvPolynomial.tensorEquivSum_C_tmul_C · cited by 0MvPolynomial.tensorEquivS…AddMonoidAlgebra.lsingle_apply · cited by 0AddMonoidAlgebra.lsingle_…AddMonoidAlgebra.domCongr_comp_lsingle · cited by 0AddMonoidAlgebra.domCongr…LaurentPolynomial.comul_C · cited by 0LaurentPolynomial.comul_CModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idSemiring · cited by 13802SemiringLinearMap · cited by 10215LinearMapLinearMap.comp · cited by 1642LinearMap.compLinearEquiv.symm · cited by 1461LinearEquiv.symmLinearEquiv.toLinearMap · cited by 1171LinearEquiv.toLinearMapAddMonoidAlgebra · cited by 649AddMonoidAlgebraFinsupp.lsingle · cited by 75Finsupp.lsingleAddMonoidAlgebra.coeffLinearEquiv · cited by 15AddMonoidAlgebra.coeffLin…AddMonoidAlgebra.lsingleCITED BYCITES

Cites10

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

Cited by15

Results whose statement or proof uses this declaration.