Theorems · Theorem · general algebraic systems
DFinsupp.mapRange.addMonoidHom_apply
∀ {ι : Type u} {β₁ : ι → Type v₁} {β₂ : ι → Type v₂} [inst : (i : ι) → AddZeroClass (β₁ i)]
[inst_1 : (i : ι) → AddZeroClass (β₂ i)] (f : (i : ι) → β₁ i →+ β₂ i) (x : Π₀ (i : ι), β₁ i),
(DFinsupp.mapRange.addMonoidHom f) x = DFinsupp.mapRange (fun i x => (f i) x) ⋯ x- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClassAddZeroClass
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.
- DFunLike.coestatement and proof · cited by 62,936
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- DFinsuppstatement and proof · cited by 694
- DFinsupp.mapRangestatement · cited by 29
- DFinsupp.mapRange.addMonoidHomstatement and proof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- DFinsupp.mker_mapRangeAddMonoidHomproof · cited by 3
- DFinsupp.mrange_mapRangeAddMonoidHomproof · cited by 3
- DFinsupp.mapRange.addMonoidHom_compproof · cited by 1