Theorems · Theorem · group theory
finsum_apply
∀ {N : Type u_6} [inst : AddCommMonoid N] {α : Type u_7} {ι : Type u_8} {f : ι → α → N},
Function.HasFiniteSupport f → ∀ (a : α), (∑ᶠ (i : ι), f i) a = ∑ᶠ (i : ι), f i a- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
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Cites15
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
- Finset.sumproof · cited by 5,195
- Function.supportproof · cited by 610
- Set.Finite.toFinsetproof · cited by 351
- finsumstatement · cited by 286
- Finset.sum_applyproof · cited by 234
- Set.Finite.coe_toFinsetproof · cited by 124
- Function.HasFiniteSupportstatement and proof · cited by 113
- Finset.sum_subsetproof · cited by 79
- Set.Finite.mem_toFinsetproof · cited by 74
- Function.mem_supportproof · cited by 54
- finsum_defproof · cited by 8
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