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Theorems · Theorem · number theory

Finset.sum_Ico_le_sum

∀ {s : Finset ℤ} {c : ℤ}, (∀ x ∈ s, c ≤ x) → ∑ x ∈ Finset.Ico c (c + ↑s.card), x ≤ ∑ x ∈ s, x

Sharp lower bound for the sum of a finset of integers that is bounded below, Ico version.

Defined in
Mathlib.Algebra.Order.Group.Int.Sum
Cited by
1 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

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