Theorems · Theorem · convex and discrete geometry

Finsupp.iConvexComb_apply

∀ {I : Type u_1} {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 I)
  (f : I → ι →₀ X) (i : ι), (Convexity.iConvexComb w f) i = Convexity.iConvexComb w fun j => (f j) i

Defined in

Mathlib.Geometry.Convex.ConvexSpace.Prod

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsStrictOrderedRingZeroConvexity.ConvexSpace