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Theorems · Theorem · general algebraic systems

Finsupp.mapDomain_add

∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} [inst : AddCommMonoid M] {v₁ v₂ : α →₀ M} {f : α → β},
  Finsupp.mapDomain f (v₁ + v₂) = Finsupp.mapDomain f v₁ + Finsupp.mapDomain f v₂
Defined in
Mathlib.Data.Finsupp.Basic
Cited by
8 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoid
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Around this declaration

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

Finsupp.lmapDomain · cited by 63Finsupp.lmapDomainFinsupp.mapDomain.addMonoidHom · cited by 19mapDomain.addMonoidHomConvexity.StdSimplex.map_duple · cited by 7StdSimplex.map_dupleMvPolynomial.tensorEquivSum_X_tmul_X · cited by 2MvPolynomial.tensorEquivS…Finsupp.toMultiset_map · cited by 1Finsupp.toMultiset_mapMvPolynomial.prime_rename_iff · cited by 0MvPolynomial.prime_rename…MonoidAlgebra.mapDomain_add · cited by 0MonoidAlgebra.mapDomain_a…groupHomology.H1CoresCoinf_exact · cited by 0groupHomology.H1CoresCoin…AddMonoidAlgebra.mapDomain_add · cited by 0AddMonoidAlgebra.mapDomai…Finsupp.mapDomain_swap_sumElim · cited by 0Finsupp.mapDomain_swap_su…AddCommMonoid · cited by 12281AddCommMonoidFinsupp · cited by 5255FinsuppFinsupp.mapDomain · cited by 168Finsupp.mapDomainFinsupp.single_zero · cited by 63Finsupp.single_zeroFinsupp.single_add · cited by 23Finsupp.single_addFinsupp.sum_add_index' · cited by 14Finsupp.sum_add_index'Finsupp.mapDomain_addCITED BYCITES

Cites6

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Cited by10

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