Theorems · Theorem · convex and discrete geometry

Convexity.StdSimplex.weights_sConvexComb

∀ {R : Type u_1} {I : Type u_6} [inst : PartialOrder R] [inst_1 : Semiring R] [inst_2 : IsStrictOrderedRing R]
  (f : Convexity.StdSimplex R (Convexity.StdSimplex R I)),
  (Convexity.sConvexComb f).weights = f.weights.sum fun d r => r • d.weights

Defined in

Mathlib.Geometry.Convex.ConvexSpace.Defs

Cited by

5 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderSemiringIsStrictOrderedRing