Theorems · Definition · convex and discrete geometry

stdSimplex.vertex

{S : Type u_1} →
  [inst : Semiring S] →
    [inst_1 : PartialOrder S] →
      {X : Type u_2} → [inst_2 : Fintype X] → [IsOrderedRing S] → [DecidableEq X] → X → ↑(stdSimplex S X)

The vertex corresponding to x : X in stdSimplex S X.

Defined in

Mathlib.Analysis.Convex.StdSimplex

Cited by

12 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderFintypeIsOrderedRingDecidableEq