Theorems · Definition · general algebraic systems
Finsupp.mapDomain.addMonoidHom
{α : Type u_1} → {β : Type u_2} → {M : Type u_5} → [inst : AddCommMonoid M] → (α → β) → (α →₀ M) →+ β →₀ MFinsupp.mapDomain is an AddMonoidHom.
- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 72 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.
Cites6
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
- AddMonoidHomstatement · cited by 3,230
- Finsupp.mapDomainproof · cited by 168
- Finsupp.mapDomain_zeroproof · cited by 15
- Finsupp.mapDomain_addproof · cited by 8
Cited by21
Results whose statement or proof uses this declaration.
- MvPolynomial.renameproof · cited by 168
- MvPolynomial.rename_Xproof · cited by 48
- MvPolynomial.rename_renameproof · cited by 13
- Finsupp.mapDomain.addMonoidHom_applystatement and proof · cited by 10
- MvPolynomial.rename_Cproof · cited by 6
- MvPolynomial.rename_monomialproof · cited by 5
- MvPolynomial.tensorEquivSum_X_tmul_oneproof · cited by 3
- MvPolynomial.tensorEquivSum_one_tmul_Xproof · cited by 3
- MvPolynomial.coeff_rename_eq_zeroproof · cited by 3
- AddCommMonCat.freeproof · cited by 2
- MvPolynomial.tensorEquivSum_X_tmul_Xproof · cited by 2
- Finsupp.mapDomain_finsetSumproof · cited by 2