Theorems · Theorem · group theory
Finset.sum_nat_mod
∀ {ι : Type u_1} (s : Finset ι) (n : ℕ) (f : ι → ℕ), (∑ i ∈ s, f i) % n = (∑ i ∈ s, f i % n) % n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Quot.sound
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.
- Finsetstatement and proof · cited by 13,712
- Finset.sumstatement · cited by 5,195
- Multisetproof · cited by 2,627
- Multiset.mapproof · cited by 876
- Finset.valproof · cited by 438
- Multiset.sumproof · cited by 388
- Multiset.map_mapproof · cited by 151
- Multiset.sum_nat_modproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Finset.even_sum_iff_even_card_oddproof · cited by 0