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data.​pnat.​intervals

data.​pnat.​intervals

source
pnat.​Ico
pnat.​Ico.​card
pnat.​Ico.​mem
source
def pnat.​Ico  :
ℕ+ → ℕ+ → finset ℕ+

Ico l u is the set of positive natural numbers l ≤ k < u.

Equations
source
@[simp]
theorem pnat.​Ico.​mem {n m l : ℕ+} :
l ∈ n.Ico m ↔ n ≤ l ∧ l < m

source
@[simp]
theorem pnat.​Ico.​card (l u : ℕ+) :
(l.Ico u).card = ↑u - ↑l

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