Theorems · Theorem · convex and discrete geometry
stdSimplex.map_coe
∀ {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] (f : X → Y) (s : ↑(stdSimplex S X)),
⇑(stdSimplex.map f s) = (FunOnFinite.linearMap S S f) ⇑s- Defined in
- Mathlib.Analysis.Convex.StdSimplex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedRingstatement and proof · cited by 777
- stdSimplexstatement and proof · cited by 76
- stdSimplex.mapstatement · cited by 18
- FunOnFinite.linearMapstatement · cited by 9
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