Mathlib Map

Theorems · Theorem · group theory

Prod.snd_sum

∀ {ι : Type u_1} {M : Type u_3} {N : Type u_4} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N] {s : Finset ι}
  {f : ι → M × N}, (∑ c ∈ s, f c).2 = ∑ c ∈ s, (f c).2
Defined in
Mathlib.Algebra.BigOperators.Pi
Cited by
5 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
AddCommMonoidAddCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ConvexOn.map_centerMass_le · cited by 4ConvexOn.map_centerMass_lemk_mem_convexHull_prod · cited by 1mk_mem_convexHull_prodModule.Basis.prod_parallelepiped · cited by 1Basis.prod_parallelepipedTrivSqZeroExt.snd_sum · cited by 0TrivSqZeroExt.snd_sumLinearMap.snd_prodOfFinsuppNat · cited by 0LinearMap.snd_prodOfFinsu…Finset · cited by 13712FinsetAddCommMonoid · cited by 12281AddCommMonoidFinset.sum · cited by 5195Finset.summap_sum · cited by 455map_sumAddMonoidHom.snd · cited by 42AddMonoidHom.sndProd.snd_sumCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.