Theorems · Theorem · group theory
AddMonoidHom.coe_finsetSum
∀ {ι : Type u_1} {M : Type u_3} {N : Type u_4} [inst : AddZeroClass M] [inst_1 : AddCommMonoid N] (f : ι → M →+ N)
(s : Finset ι), ⇑(∑ x ∈ s, f x) = ∑ x ∈ s, ⇑(f x)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- AddZeroClassAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumstatement · cited by 5,195
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- map_sumproof · cited by 455
- AddMonoidHom.coeFnproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- AddMonoidHom.coe_finset_sumproof · cited by 0
- AddMonoidHom.coe_finsuppSumproof · cited by 0
- AddMonoidHom.coe_dfinsuppSumproof · cited by 0