Theorems · Theorem · convex and discrete geometry
Convexity.StdSimplex.weights_single
∀ {R : Type u} [inst : PartialOrder R] [inst_1 : Semiring R] {M : Type u_9} [inst_2 : IsStrictOrderedRing R] (x : M),
(Convexity.StdSimplex.single x).weights = fun₀ | x => 1- Defined in
- Mathlib.Geometry.Convex.ConvexSpace.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- PartialOrderstatement and proof · cited by 6,410
- Finsuppstatement · cited by 5,255
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Finsupp.singlestatement · cited by 943
- Convexity.StdSimplex.weightsstatement and proof · cited by 63
- Convexity.StdSimplex.singlestatement and proof · cited by 19
Cited by5
Results whose statement or proof uses this declaration.
- Convexity.StdSimplex.map_constproof · cited by 4
- Convexity.convexCombPair_convexCombPair_assoc_leftproof · cited by 1
- Convexity.StdSimplex.map_singleproof · cited by 1
- Convexity.StdSimplex.support_weights_eq_singletonproof · cited by 0
- Convexity.IsConvexSet.of_convexCombPair_memproof · cited by 0