Theorems · Theorem · ring theory
Int.sum_div
∀ {ι : Type u_5} {s : Finset ι} {f : ι → ℤ} {n : ℤ}, (∀ i ∈ s, n ∣ f i) → (∑ i ∈ s, f i) / n = ∑ i ∈ s, f i / n- Defined in
- Mathlib.Algebra.BigOperators.Ring.Finset
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.sumstatement and proof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- eq_or_neproof · cited by 1,117
- Finset.sum_const_zeroproof · cited by 219
- Finset.sum_mulproof · cited by 112
- Finset.dvd_sumproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Int.erdos_ginzburg_zivproof · cited by 2