Theorems · Theorem · convex and discrete geometry

Convexity.iConvexComb_const

∀ {R : Type u_1} {M : Type u_3} {I : Type u_6} [inst : PartialOrder R] [inst_1 : Semiring R]
  [inst_2 : IsStrictOrderedRing R] [inst_3 : Convexity.ConvexSpace R M] (s : Convexity.StdSimplex R I) (m : M),
  (Convexity.iConvexComb s fun x => m) = m

Defined in

Mathlib.Geometry.Convex.ConvexSpace.Defs

Cited by

6 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderSemiringIsStrictOrderedRingConvexity.ConvexSpace