Theorems · Theorem · group theory
Multiset.sum_int_mod
∀ (s : Multiset ℤ) (n : ℤ), s.sum % n = (Multiset.map (fun x => x % n) s).sum % n
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- Multiset.mapstatement and proof · cited by 876
- Multiset.sumstatement and proof · cited by 388
- Multiset.map_consproof · cited by 93
- Multiset.sum_consproof · cited by 45
- Multiset.inductionproof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- Finset.sum_int_modproof · cited by 0