Theorems · Theorem · order theory
Nat.multiset_Ico_map_mod
∀ (n a : ℕ), Multiset.map (fun x => x % a) (Multiset.Ico n (n + a)) = Multiset.range a
- Defined in
- Mathlib.Order.Interval.Finset.Nat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Finset.rangeproof · cited by 1,341
- Finset.imageproof · cited by 910
- Multiset.mapstatement and proof · cited by 876
- Finset.Icoproof · cited by 450
- Finset.valproof · cited by 438
- Finset.nodupproof · cited by 40
- Multiset.Icostatement and proof · cited by 32
- Multiset.rangestatement and proof · cited by 30
- Multiset.Nodup.dedupproof · cited by 15
- Multiset.nodup_map_iff_inj_onproof · cited by 5
- Nat.image_Ico_modproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Nat.filter_multiset_Ico_card_eq_of_periodicproof · cited by 1