Theorems · Theorem · group theory
finsum_nsmul
∀ {α : Type u_1} {M : Type u_5} [inst : AddCommMonoid M] {f : α → M},
Function.HasFiniteSupport f → ∀ (n : ℕ), n • ∑ᶠ (i : α), f i = ∑ᶠ (i : α), n • f i- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
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Cites5
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
- finsumstatement · cited by 286
- Function.HasFiniteSupportstatement and proof · cited by 113
- nsmulAddMonoidHomproof · cited by 24
- AddMonoidHom.map_finsumproof · cited by 9
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