Theorems · Theorem · convex and discrete geometry

stdSimplex.map_vertex

∀ {S : Type u_1} [inst : Semiring S] [inst_1 : PartialOrder S] {X : Type u_2} {Y : Type u_3} [inst_2 : Fintype X]
  [inst_3 : Fintype Y] [inst_4 : IsOrderedRing S] [inst_5 : DecidableEq X] [inst_6 : DecidableEq Y] (f : X → Y) (x : X),
  stdSimplex.map f (stdSimplex.vertex x) = stdSimplex.vertex (f x)

Defined in

Mathlib.Analysis.Convex.StdSimplex

Cited by

4 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderFintypeFintypeIsOrderedRingDecidableEqDecidableEq