Theorems · Theorem · general algebraic systems
DFinsupp.sumAddHom_comp_single
∀ {ι : Type u} {γ : Type w} {β : ι → Type v} [inst : DecidableEq ι] [inst_1 : (i : ι) → AddZeroClass (β i)]
[inst_2 : AddCommMonoid γ] (f : (i : ι) → β i →+ γ) (i : ι),
(DFinsupp.sumAddHom f).comp (DFinsupp.singleAddHom β i) = f i- Defined in
- Mathlib.Data.DFinsupp.BigOperators
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- DFinsuppstatement · cited by 694
- AddMonoidHom.compstatement · cited by 339
- AddMonoidHom.extproof · cited by 149
- DFinsupp.sumAddHomstatement · cited by 38
- DFinsupp.singleAddHomstatement · cited by 17
- DFinsupp.sumAddHom_singleproof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- DFinsupp.liftAddHom_comp_singleproof · cited by 1
- DirectSum.toAddMonoid.uniqueproof · cited by 1