Theorems · Theorem · number theory
Int.Ico_filter_dvd_eq
∀ (a b : ℤ) {r : ℤ} (hr : 0 < r),
{x ∈ Finset.Ico a b | r ∣ x} = Finset.map { toFun := fun x => x * r, inj' := ⋯ } (Finset.Ico ⌈↑a / ↑r⌉ ⌈↑b / ↑r⌉)- Defined in
- Mathlib.Data.Int.CardIntervalMod
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- PartialOrderproof · cited by 6,410
- LT.lt.ne'statement and proof · cited by 1,417
- Finset.filterstatement · cited by 949
- Finset.mapstatement · cited by 747
- AddLeftMonoproof · cited by 687
- Finset.extproof · cited by 565
- Finset.Icostatement · cited by 450
- ZeroLEOneClassproof · cited by 304
- Int.ceilstatement · cited by 138
- AddCommGroupWithOneproof · cited by 61
Cited by2
Results whose statement or proof uses this declaration.
- Int.Ico_filter_modEq_cardproof · cited by 1
- Int.Ico_filter_dvd_cardproof · cited by 0