Int.Ico_filter_dvd_card

∀ (a b : ℤ) {r : ℤ}, 0 < r → ↑{x ∈ Finset.Ico a b | r ∣ x}.card = max (⌈↑b / ↑r⌉ - ⌈↑a / ↑r⌉) 0

There are ⌈b / r⌉ - ⌈a / r⌉ multiples of r in [a, b), if a ≤ b.

Defined in: Mathlib.Data.Int.CardIntervalMod
Cited by: 0 results in Mathlib
Foundations: Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

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