Theorems · Definition · convex and discrete geometry

stdSimplex.map

{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] → [IsOrderedRing S] → (X → Y) → ↑(stdSimplex S X) → ↑(stdSimplex S Y)

The map stdSimplex S X → stdSimplex S Y that is induced by a map f : X → Y.

Defined in

Mathlib.Analysis.Convex.StdSimplex

Cited by

18 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderFintypeFintypeIsOrderedRing