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Theorems · Theorem · group theory

AddEquivClass.map_finsum

∀ {M : Type u_2} {N : Type u_3} {α : Sort u_4} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N] {F : Type u_7}
  [inst_2 : EquivLike F M N] [AddEquivClass F M N] (g : F) (f : α → M), g (∑ᶠ (i : α), f i) = ∑ᶠ (i : α), g (f i)
Defined in
Mathlib.Algebra.BigOperators.Finprod
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidAddCommMonoidEquivLikeAddEquivClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

map_finsetSum · cited by 2map_finsetSumDFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidfinsum · cited by 286finsumEquivLike · cited by 165EquivLikeAddEquivClass.toAddEquiv · cited by 54AddEquivClass.toAddEquivAddEquivClass · cited by 22AddEquivClassAddEquiv.map_finsum · cited by 3AddEquiv.map_finsumAddEquivClass.map_finsumCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.