Theorems · Definition · general algebraic systems
DFinsupp.coeFnAddMonoidHom
{ι : Type u} → {β : ι → Type v} → [inst : (i : ι) → AddZeroClass (β i)] → (Π₀ (i : ι), β i) →+ (i : ι) → β iCoercion from a DFinsupp to a pi type is 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
- AddZeroClass
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 · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- DFinsuppstatement · cited by 694
- DFinsupp.coe_addproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- DFinsupp.evalAddMonoidHomproof · cited by 7
- DirectSum.coeFnAddMonoidHomproof · cited by 5
- DFinsupp.mker_mapRangeAddMonoidHomstatement · cited by 3
- DFinsupp.mrange_mapRangeAddMonoidHomstatement · cited by 3
- PrimeSpectrum.exists_maximal_notMem_range_sigmaToPi_of_infiniteproof · cited by 2
- DFinsupp.coe_finsetSumproof · cited by 1
- DFinsupp.range_mapRangeAddMonoidHomstatement and proof · cited by 1
- DFinsupp.ker_mapRangeAddMonoidHomstatement and proof · cited by 1
- DFinsupp.coeFnAddMonoidHom_applystatement · cited by 0