Theorems · Theorem · order theory

IncidenceAlgebra.mul_apply

∀ {𝕜 : Type u_2} {α : Type u_5} [inst : Preorder α] [inst_1 : LocallyFiniteOrder α] [inst_2 : AddCommMonoid 𝕜]
  [inst_3 : Mul 𝕜] (f g : IncidenceAlgebra 𝕜 α) (a b : α), (f * g) a b = ∑ x ∈ Finset.Icc a b, f a x * g x b

Defined in

Mathlib.Combinatorics.Enumerative.IncidenceAlgebra

Cited by

2 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderLocallyFiniteOrderAddCommMonoidMul