Theorems · Theorem · convex and discrete geometry
convexHull_multiset_sum
∀ {R : Type u_1} {E : Type u_3} [inst : Field R] [inst_1 : AddCommGroup E] [inst_2 : Module R E]
[inst_3 : LinearOrder R] [IsStrictOrderedRing R] (s : Multiset (Set E)),
(convexHull R) s.sum = (Multiset.map (⇑(convexHull R)) s).sum- Defined in
- Mathlib.Analysis.Convex.Combination
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- Multisetstatement and proof · cited by 2,627
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Multiset.mapstatement · cited by 876
- Multiset.sumstatement · cited by 388
- ClosureOperatorstatement · cited by 371
- convexHullstatement · cited by 163
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