Theorems · Theorem · convex and discrete geometry

Convexity.StdSimplex.map_single

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

Defined in

Mathlib.Geometry.Convex.ConvexSpace.Defs

Cited by

1 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderSemiringIsStrictOrderedRing