Theorems · Theorem · convex and discrete geometry

Convexity.map_iConvexComb

∀ {R : Type u_1} {I : Type u_6} {J : Type u_7} {K : Type u_8} [inst : PartialOrder R] [inst_1 : Semiring R]
  [inst_2 : IsStrictOrderedRing R] {f : J → K} (s : Convexity.StdSimplex R I) (g : I → Convexity.StdSimplex R J),
  Convexity.StdSimplex.map f (Convexity.iConvexComb s g) = Convexity.iConvexComb s (Convexity.StdSimplex.map f ∘ g)

Defined in

Mathlib.Geometry.Convex.ConvexSpace.Defs

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderSemiringIsStrictOrderedRing