Theorems · Theorem · general algebraic systems
Finsupp.mapDomain_comp
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {M : Type u_5} [inst : AddCommMonoid M] {v : α →₀ M} {f : α → β}
{g : β → γ}, Finsupp.mapDomain (g ∘ f) v = Finsupp.mapDomain g (Finsupp.mapDomain f v)- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportproof · cited by 828
- Finsupp.mapDomainstatement · cited by 168
- Finsupp.sum_single_indexproof · cited by 130
- Finsupp.single_zeroproof · cited by 63
- Finsupp.single_addproof · cited by 23
- Finsupp.sum_congrproof · cited by 14
- Finsupp.sum_sum_indexproof · cited by 9
Cited by13
Results whose statement or proof uses this declaration.
- Convexity.StdSimplex.map_compproof · cited by 3
- Module.finitePresentation_of_free_of_surjectiveproof · cited by 3
- MonoidAlgebra.mapDomainBialgHom_compproof · cited by 2
- AddMonoidAlgebra.mapDomainBialgHom_compproof · cited by 2
- Finsupp.lmapDomain_compproof · cited by 1
- Finsupp.mapDomain.addMonoidHom_compproof · cited by 1
- Finsupp.mapDomain_surjectiveproof · cited by 1
- groupHomology.H1CoresCoinfOfTrivial_exactproof · cited by 1
- AddMonoidAlgebra.mapDomainLinearMap_compproof · cited by 0
- FunOnFinite.map_compproof · cited by 0
- AddMonoidAlgebra.mapDomainNonUnitalRingHom_compproof · cited by 0
- MonoidAlgebra.mapDomainLinearMap_compproof · cited by 0