Theorems · Theorem · order theory

IncidenceAlgebra.sum_Icc_mu_right

∀ {𝕜 : Type u_2} {α : Type u_5} [inst : AddCommGroup 𝕜] [inst_1 : One 𝕜] [inst_2 : PartialOrder α]
  [inst_3 : LocallyFiniteOrder α] [inst_4 : DecidableEq α] (a b : α),
  ∑ x ∈ Finset.Icc a b, (IncidenceAlgebra.mu 𝕜) a x = if a = b then 1 else 0

Defined in

Mathlib.Combinatorics.Enumerative.IncidenceAlgebra

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupOnePartialOrderLocallyFiniteOrderDecidableEq