Theorems · Theorem · order theory
Multiset.sum_nonneg
∀ {α : Type u_2} [inst : AddCommMonoid α] [inst_1 : Preorder α] {s : Multiset α} [AddLeftMono α],
(∀ x ∈ s, 0 ≤ x) → 0 ≤ s.sum- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Preorderstatement and proof · cited by 7,952
- Multisetstatement and proof · cited by 2,627
- AddLeftMonostatement and proof · cited by 687
- Multiset.sumstatement · cited by 388
- List.sum_nonnegproof · cited by 3
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