Theorems · Theorem · general algebraic systems
RingHom.map_dfinsuppSumAddHom
∀ {ι : Type u} {β : ι → Type v} [inst : DecidableEq ι] {R : Type u_1} {S : Type u_2} [inst_1 : NonAssocSemiring R]
[inst_2 : NonAssocSemiring 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.toAddMonoidHom.comp (g i)) f- Defined in
- Mathlib.Data.DFinsupp.BigOperators
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- NonAssocSemiringstatement and proof · cited by 805
- DFinsuppstatement and proof · cited by 694
- AddMonoidHom.compstatement · cited by 339
- DFunLike.congr_funproof · cited by 288
- DFinsupp.sumAddHomstatement · cited by 38
- RingHom.toAddMonoidHomstatement and proof · cited by 17
- DFinsupp.comp_liftAddHomproof · cited by 4
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