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Theorems · Theorem · order theory

Multiset.single_le_sum

∀ {α : Type u_2} [inst : AddCommMonoid α] [inst_1 : Preorder α] {s : Multiset α} [IsOrderedAddMonoid α],
  (∀ x ∈ s, 0 ≤ x) → ∀ x ∈ s, x ≤ s.sum
Defined in
Mathlib.Algebra.Order.BigOperators.Group.Multiset
Cited by
1 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
AddCommMonoidPreorderIsOrderedAddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

entry_norm_bound_of_unitary · cited by 1entry_norm_bound_of_unita…AddCommMonoid · cited by 12281AddCommMonoidPreorder · cited by 7952PreorderMultiset · cited by 2627MultisetIsOrderedAddMonoid · cited by 1659IsOrderedAddMonoidMultiset.sum · cited by 388Multiset.sumList.single_le_sum · cited by 3List.single_le_sumMultiset.single_le_sumCITED BYCITES

Cites6

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Cited by1

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