Theorems · Definition · linear algebra
Finsupp.lmapDomain
{α : Type u_1} →
(M : Type u_2) →
(R : Type u_5) →
[inst : Semiring R] →
[inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → {α' : Type u_9} → (α → α') → (α →₀ M) →ₗ[R] α' →₀ MInterpret Finsupp.mapDomain as a linear map.
- Defined in
- Mathlib.LinearAlgebra.Finsupp.Defs
- Cited by
- 63 results in Mathlib
- Foundations
- Depth 78 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.
Cites8
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
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- Finsupp.mapDomainproof · cited by 168
- Finsupp.mapDomain_addproof · cited by 8
Cited by75
Results whose statement or proof uses this declaration.
- groupHomology.chainsMapproof · cited by 40
- Module.Basis.constrproof · cited by 37
- ModuleCat.freeproof · cited by 19
- MonoidAlgebra.mapDomainLinearMapproof · cited by 17
- Representation.ofMulActionproof · cited by 15
- MonoidAlgebra.mapDomainLinearMap_singleproof · cited by 13
- groupHomology.chainsMap₁proof · cited by 12
- groupHomology.chainsMap₂proof · cited by 10
- groupHomology.chainsMap_fstatement · cited by 9
- FunOnFinite.linearMapproof · cited by 9
- Submodule.fg_of_fg_map_of_fg_inf_kerproof · cited by 7
- Representation.ofMulAction_singleproof · cited by 6