Theorems · Theorem · linear algebra
Finsupp.lmapDomain_comp
∀ {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'' : Type u_10} (f : α → α') (g : α' → α''),
Finsupp.lmapDomain M R (g ∘ f) = Finsupp.lmapDomain M R g ∘ₗ Finsupp.lmapDomain M R f- Defined in
- Mathlib.LinearAlgebra.Finsupp.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 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.
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
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- LinearMap.compstatement · cited by 1,642
- LinearMap.extproof · cited by 844
- Finsupp.lmapDomainstatement · cited by 63
- Finsupp.mapDomain_compproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.lmapDomain_supportedproof · cited by 2