Theorems · Theorem · group theory
map_finsetSum
∀ {M : Type u_5} {N : Type u_6} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N] {α : Type u_7} {F : Type u_8}
[inst_2 : Fintype α] [inst_3 : EquivLike F M N] [AddEquivClass F M N] (f : F) (g : α → M), f (∑ i, g i) = ∑ i, f (g i)- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- Finset.sumstatement · cited by 5,195
- Finset.univstatement · cited by 3,473
- finsumproof · cited by 286
- EquivLikestatement and proof · cited by 165
- AddEquivClassstatement and proof · cited by 22
- finsum_eq_sum_of_fintypeproof · cited by 8
- AddEquivClass.map_finsumproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Module.Basis.norm_mul_le_const_mul_normproof · cited by 1
- map_finset_sumproof · cited by 0