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Theorems · Theorem · convex and discrete geometry

ite_eq_mem_stdSimplex

∀ (𝕜 : Type u_2) {ι : Type u_1} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : Fintype ι]
  [inst_3 : DecidableEq ι] [ZeroLEOneClass 𝕜] (i : ι), (fun x => if i = x then 1 else 0) ∈ stdSimplex 𝕜 ι
Defined in
Mathlib.Analysis.Convex.StdSimplex
Cited by
1 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringPartialOrderFintypeDecidableEqZeroLEOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

convexHull_basis_eq_stdSimplex · cited by 2convexHull_basis_eq_stdSi…Set · cited by 53352SetSemiring · cited by 13802SemiringFintype · cited by 7736FintypePartialOrder · cited by 6410PartialOrderZeroLEOneClass · cited by 304ZeroLEOneClassstdSimplex · cited by 76stdSimplexsingle_mem_stdSimplex · cited by 10single_mem_stdSimplexite_eq_mem_stdSimplexCITED BYCITES

Cites7

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Cited by1

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