Theorems · Theorem · general algebraic systems

AddMonoidHom.coe_dfinsuppSum

∀ {ι : Type u} {β : ι → Type v} [inst : DecidableEq ι] {R : Type u_1} {S : Type u_2} [inst_1 : (i : ι) → Zero (β i)]
  [inst_2 : (i : ι) → (x : β i) → Decidable (x ≠ 0)] [inst_3 : AddZeroClass R] [inst_4 : AddCommMonoid S]
  (f : Π₀ (i : ι), β i) (g : (i : ι) → β i → R →+ S), ⇑(f.sum g) = f.sum fun a b => ⇑(g a b)

Defined in

Mathlib.Data.DFinsupp.BigOperators

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqZeroDecidableAddZeroClassAddCommMonoid