Theorems · Theorem · convex and discrete geometry
Convexity.subtypeVal_sConvexComb
∀ {R : Type u_3} {X : Type u_5} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsStrictOrderedRing R]
[inst_3 : Convexity.ConvexSpace R X] (s : Set X) (hs : Convexity.IsConvexSet R s) (w : Convexity.StdSimplex R ↑s),
↑(Convexity.sConvexComb w) = Convexity.iConvexComb w Subtype.val- Defined in
- Mathlib.Geometry.Convex.Set
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 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.
- Setstatement and proof · cited by 53,352
- Semiringstatement and proof · cited by 13,802
- Set.Elemstatement and proof · cited by 7,166
- PartialOrderstatement and proof · cited by 6,410
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Convexity.ConvexSpacestatement and proof · cited by 176
- Convexity.StdSimplexstatement and proof · cited by 123
- Convexity.ConvexSpace.sConvexCombstatement · cited by 59
- Convexity.iConvexCombstatement · cited by 51
- Convexity.IsConvexSetstatement and proof · cited by 35
- Convexity.ConvexSpace.subtypestatement · cited by 4
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