Theorems · Theorem · convex and discrete geometry

Convexity.StdSimplex.map_map

∀ {R : Type u} [inst : PartialOrder R] [inst_1 : Semiring R] {M : Type u_9} {N : Type u_10} {P : Type u_11}
  [inst_2 : IsStrictOrderedRing R] (f : Convexity.StdSimplex R M) (g₁ : M → N) (g₂ : N → P),
  Convexity.StdSimplex.map g₂ (Convexity.StdSimplex.map g₁ f) = Convexity.StdSimplex.map (fun x => g₂ (g₁ x)) f

Defined in

Mathlib.Geometry.Convex.ConvexSpace.Defs

Cited by

7 results in Mathlib

Foundations

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

Assumes

PartialOrderSemiringIsStrictOrderedRing