Theorems · Theorem · group theory

Nat.cast_finsum_mem

∀ {ι : Type u_3} {s : Set ι},
  s.Finite →
    ∀ {M : Type u_7} [inst : AddCommMonoidWithOne M] (f : ι → ℕ),
      ↑(∑ᶠ (x : ι) (_ : x ∈ s), f x) = ∑ᶠ (x : ι) (_ : x ∈ s), ↑(f x)

Defined in: Mathlib.Algebra.BigOperators.Finprod
Cited by: 1 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddCommMonoidWithOne

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

Setstatement and proof · cited by 53,352
Set.Finitestatement and proof · cited by 1,814
finsumstatement · cited by 286
AddCommMonoidWithOnestatement and proof · cited by 42
Nat.castAddMonoidHomproof · cited by 16
AddMonoidHom.map_finsum_memproof · cited by 5

Cited by1

Results whose statement or proof uses this declaration.

Set.Finite.encard_biUnionproof · cited by 1