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Theorems · Definition · order theory

IncidenceAlgebra.lambda

(𝕜 : Type u_2) →
  {α : Type u_5} →
    [inst : Zero 𝕜] → [One 𝕜] → [inst_2 : Preorder α] → [DecidableRel fun x1 x2 => x1 ⩿ x2] → IncidenceAlgebra 𝕜 α

The lambda function of the incidence algebra is the function that assigns 1 to every nonempty interval of cardinality one or two.

Defined in
Mathlib.Combinatorics.Enumerative.IncidenceAlgebra
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
ZeroOnePreorderDecidableRel
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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IncidenceAlgebra.lambda_apply · cited by 0IncidenceAlgebra.lambda_a…Preorder · cited by 7952PreorderWCovBy · cited by 107WCovByIncidenceAlgebra · cited by 51IncidenceAlgebraIncidenceAlgebra.lambdaCITED BYCITES

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Cited by1

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