Theorems · Theorem · convex and discrete geometry

Finsupp.sConvexComb_apply

∀ {R : Type u_2} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsStrictOrderedRing R] {ι : Type u_3}
  {X : Type u_4} [inst_3 : Zero X] [inst_4 : Convexity.ConvexSpace R X] (w : Convexity.StdSimplex R (ι →₀ X)) (i : ι),
  (Convexity.sConvexComb w) i = Convexity.iConvexComb w fun x => x i

Defined in

Mathlib.Geometry.Convex.ConvexSpace.Prod

Cited by

1 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsStrictOrderedRingZeroConvexity.ConvexSpace