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Theorems · Theorem · order theory

IncidenceAlgebra.zeta_mul_mu

∀ {𝕜 : Type u_2} {α : Type u_5} [inst : Ring 𝕜] [inst_1 : PartialOrder α] [inst_2 : LocallyFiniteOrder α]
  [inst_3 : DecidableEq α] [inst_4 : DecidableLE α], IncidenceAlgebra.zeta 𝕜 * IncidenceAlgebra.mu 𝕜 = 1
Defined in
Mathlib.Combinatorics.Enumerative.IncidenceAlgebra
Cited by
2 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingPartialOrderLocallyFiniteOrderDecidableEqDecidableLE
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Around this declaration

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

IncidenceAlgebra.mu_toDual · cited by 3IncidenceAlgebra.mu_toDualIncidenceAlgebra.mu_prod_mu · cited by 0IncidenceAlgebra.mu_prod_…Ring · cited by 7463RingPartialOrder · cited by 6410PartialOrderLocallyFiniteOrder · cited by 658LocallyFiniteOrderIncidenceAlgebra · cited by 51IncidenceAlgebraIncidenceAlgebra.mu · cited by 15IncidenceAlgebra.muIncidenceAlgebra.zeta · cited by 11IncidenceAlgebra.zetaIncidenceAlgebra.zeta_mul_muCITED BYCITES

Cites6

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Cited by2

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