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Theorems · Theorem · order theory

List.card_nsmul_le_sum

∀ {M : Type u_3} [inst : AddMonoid M] [inst_1 : Preorder M] [AddRightMono M] [AddLeftMono M] (l : List M) (n : M),
  (∀ x ∈ l, n ≤ x) → l.length • n ≤ l.sum
Defined in
Mathlib.Algebra.Order.BigOperators.Group.List
Cited by
0 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
AddMonoidPreorderAddRightMonoAddLeftMono
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Preorder · cited by 7952PreorderAddMonoid · cited by 2864AddMonoidAddLeftMono · cited by 687AddLeftMonoAddRightMono · cited by 367AddRightMonoList.sum_le_card_nsmul · cited by 3List.sum_le_card_nsmulList.card_nsmul_le_sumCITED BYCITES

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