Theorems · Definition · general algebraic systems
DFinsupp.mapRange.addMonoidHom
{ι : Type u} →
{β₁ : ι → Type v₁} →
{β₂ : ι → Type v₂} →
[inst : (i : ι) → AddZeroClass (β₁ i)] →
[inst_1 : (i : ι) → AddZeroClass (β₂ i)] → ((i : ι) → β₁ i →+ β₂ i) → (Π₀ (i : ι), β₁ i) →+ Π₀ (i : ι), β₂ iDFinsupp.mapRange as an AddMonoidHom.
- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 27 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- DFinsuppstatement · cited by 694
- DFinsupp.mapRangeproof · cited by 29
Cited by10
Results whose statement or proof uses this declaration.
- DirectSum.mapproof · cited by 15
- DFinsupp.mapRange.linearMapproof · cited by 10
- DFinsupp.mapRange.addEquivproof · cited by 5
- DFinsupp.mker_mapRangeAddMonoidHomstatement · cited by 3
- DFinsupp.mrange_mapRangeAddMonoidHomstatement and proof · cited by 3
- DFinsupp.mapRange.addMonoidHom_applystatement and proof · cited by 3
- DFinsupp.mapRange.addMonoidHom_compstatement and proof · cited by 1
- DFinsupp.mapRange.addMonoidHom_idstatement · cited by 1
- DFinsupp.range_mapRangeAddMonoidHomstatement and proof · cited by 1
- DFinsupp.ker_mapRangeAddMonoidHomstatement and proof · cited by 1