Theorems · Theorem · convex and discrete geometry

Convexity.iConvexComb_map

∀ {R : Type u_1} {M : Type u_3} {I : Type u_6} {J : Type u_7} [inst : PartialOrder R] [inst_1 : Semiring R]
  [inst_2 : IsStrictOrderedRing R] [inst_3 : Convexity.ConvexSpace R M] (s : Convexity.StdSimplex R I) (f : I → J)
  (g : J → M), Convexity.iConvexComb (Convexity.StdSimplex.map f s) g = Convexity.iConvexComb s fun i => g (f i)

Defined in

Mathlib.Geometry.Convex.ConvexSpace.Defs

Cited by

2 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderSemiringIsStrictOrderedRingConvexity.ConvexSpace