Theorems · Definition · general algebraic systems
DFinsupp.evalAddMonoidHom
{ι : Type u} → {β : ι → Type v} → [inst : (i : ι) → AddZeroClass (β i)] → (i : ι) → (Π₀ (i : ι), β i) →+ β iEvaluation at a point is an AddMonoidHom. This is the finitely-supported version of
Pi.evalAddMonoidHom.
- Defined in
- Mathlib.Data.DFinsupp.BigOperators
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 28 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- DFinsuppstatement · cited by 694
- AddMonoidHom.compproof · cited by 339
- Pi.evalAddMonoidHomproof · cited by 19
- DFinsupp.coeFnAddMonoidHomproof · cited by 7
Cited by8
Results whose statement or proof uses this declaration.
- GradedRing.projproof · cited by 23
- DFinsupp.finsetSum_applyproof · cited by 7
- DFinsupp.sum_applyproof · cited by 3
- Ideal.IsHomogeneous.isPrime_of_homogeneous_mem_or_memproof · cited by 3
- AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.add_memproof · cited by 1
- AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.smul_memproof · cited by 0
- DFinsupp.sumAddHom_piSinglestatement and proof · cited by 0