Theorems · Theorem · general algebraic systems
AddMonoidHom.map_dfinsuppSumAddHom
∀ {ι : Type u} {β : ι → Type v} [inst : DecidableEq ι] {R : Type u_1} {S : Type u_2} [inst_1 : AddCommMonoid R]
[inst_2 : AddCommMonoid S] [inst_3 : (i : ι) → AddZeroClass (β i)] (h : R →+ S) (f : Π₀ (i : ι), β i)
(g : (i : ι) → β i →+ R), h ((DFinsupp.sumAddHom g) f) = (DFinsupp.sumAddHom fun i => h.comp (g i)) f- Defined in
- Mathlib.Data.DFinsupp.BigOperators
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 87 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.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- DFinsuppstatement and proof · cited by 694
- AddMonoidHom.compstatement · cited by 339
- DFunLike.congr_funproof · cited by 288
- DFinsupp.sumAddHomstatement · cited by 38
- DFinsupp.comp_liftAddHomproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- LinearMap.map_dfinsuppSumAddHomproof · cited by 0
- AddMonoidHom.dfinsuppSumAddHom_applyproof · cited by 0
- AddMonoidHom.coe_dfinsuppSumAddHomproof · cited by 0