Theorems · Definition · ring theory
MonoidAlgebra.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] MonoidAlgebra S MA copy of Finsupp.lsingle for MonoidAlgebra.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 25 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
- MonoidAlgebrastatement · cited by 590
- Finsupp.lsingleproof · cited by 75
- MonoidAlgebra.coeffLinearEquivproof · cited by 34
Cited by25
Results whose statement or proof uses this declaration.
- MonoidAlgebra.lhom_ext'statement and proof · cited by 21
- MonoidAlgebra.isGroupLikeElem_single_oneproof · cited by 3
- Rep.standardComplex.forget₂ToModuleCatHomotopyEquiv_f_0_eqproof · cited by 2
- MonoidAlgebra.comul_singlestatement and proof · cited by 2
- Rep.standardComplex.d_eqproof · cited by 1
- MonoidAlgebra.lsingle_applystatement · cited by 1
- Rep.indToCoind_coindToIndproof · cited by 1
- Representation.leftRegular_norm_applyproof · cited by 1
- MonoidAlgebra.antipode_singleproof · cited by 0
- Representation.LinearizeMonoidal.assoc_comp_δproof · cited by 0
- Representation.LinearizeMonoidal.lTensor_comp_δproof · cited by 0
- Representation.LinearizeMonoidal.leftUnitor_δproof · cited by 0