Theorems · Theorem · functional analysis
enorm_multisetSum_le
∀ {ε : Type u_9} [inst : TopologicalSpace ε] [inst_1 : ESeminormedAddCommMonoid ε] (m : Multiset ε),
‖m.sum‖ₑ ≤ (Multiset.map (fun x => ‖x‖ₑ) m).sum- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement · cited by 9,879
- Multisetstatement and proof · cited by 2,627
- Multiset.mapstatement · cited by 876
- ENorm.enormstatement and proof · cited by 715
- Eq.leproof · cited by 605
- Multiset.sumstatement · cited by 388
- enorm_zeroproof · cited by 44
- ESeminormedAddCommMonoidstatement and proof · cited by 21
- enorm_add_leproof · cited by 11
- Multiset.le_sum_of_subadditiveproof · cited by 4
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