Mathlib Map

Theorems · Definition · order theory

IncidenceAlgebra.prod

{𝕜 : Type u_2} →
  {α : Type u_5} →
    {β : Type u_6} →
      [inst : Ring 𝕜] →
        [inst_1 : Preorder α] →
          [inst_2 : Preorder β] → IncidenceAlgebra 𝕜 α → IncidenceAlgebra 𝕜 β → IncidenceAlgebra 𝕜 (α × β)

The Cartesian product of two incidence algebras.

Defined in
Mathlib.Combinatorics.Enumerative.IncidenceAlgebra
Cited by
7 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingPreorderPreorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IncidenceAlgebra.prod_mul_prod' · cited by 2IncidenceAlgebra.prod_mul…IncidenceAlgebra.one_prod_one · cited by 1IncidenceAlgebra.one_prod…IncidenceAlgebra.zeta_prod_zeta · cited by 1IncidenceAlgebra.zeta_pro…IncidenceAlgebra.prod_apply · cited by 0IncidenceAlgebra.prod_app…IncidenceAlgebra.prod_mk · cited by 0IncidenceAlgebra.prod_mkIncidenceAlgebra.prod_mul_prod · cited by 0IncidenceAlgebra.prod_mul…IncidenceAlgebra.mu_prod_mu · cited by 0IncidenceAlgebra.mu_prod_…DFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderRing · cited by 7463RingIncidenceAlgebra · cited by 51IncidenceAlgebraIncidenceAlgebra.prodCITED BYCITES

Cites4

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Cited by7

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